Live updates: Clinton wins Ark., Ala., Mass., Tenn., Texas, Ga., and Va.

11:28 p.m. CBS News projects Sanders has won Minnesota.

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11:26 p.m. CBS News projects Clinton wins Massachusetts.

11:20 p.m. CBS News projects that Sanders has won Colorado.

10:30 p.m.At her victory speech rally in Miami, Clinton blasted her GOP rivals on Tuesday night, just as CBS News projected several Super Tuesday state victories for the former secretary of state.

"We know we've got work to do," Clinton said. "But that work is not to make America great again -- America never stopped being great."

"We have to make America whole," Clinton proposed instead. "We have to fill in -- fill in what's been hollowed out. We have to make strong the broken places, restitch the bonds of trust and respect across our country."

9:00 p.m. CBS News projects Clinton has won Texas.

8:43 p.m. Results show Clinton is doing well in the South and states with a large African American population. She is also doing well with women and people over 30.

8:33 p.m. Clinton has won the U.S. territory American Samoa, according to its regional Democratic Party.

8:30 p.m. CBS News projects Clinton has won Arkansas, where she was previously the state's first lady and former President Clinton served as governor.

CBS News also projects Massachusetts is now a toss-up between Clinton and Sanders.

8:00 p.m. CBS News projects Clinton has won Alabama and Tennessee while Sanders is leading in Massachusetts and Oklahoma.

7:40 p.m. Sanders took the stage at a rally in Essex Junction, Vermont to celebrate his home-state win. His supporters chanted "Feel the Bern" as the independent senator took the stage.

"It is good to be home," said Sanders, who said it means so much to him that people from his home stage "have voted so strongly to put us in the White House."

"This campaign is not just about electing a president; it is about transforming America," he said.

Sanders repeated parts of his stump speech about how Americans shouldn't allow billionaires and super PACS to "destroy American democracy." He also took a swipe at Clinton, saying she and the establishment are wrong to accuse Sanders of thinking too big.

7:22 p.m. Eighty-two percent of Virginia's black Democratic primary voters supported Clinton while only 18 percent backed Sanders.

7:07 p.m.Clinton is doing well among all demographic group except for young people. As the exit polls show, she is winning black voters overwhelmingly and white voters by a narrower margin. She is winning every age group over 30, women and men, those with college degree and without, those making more than $100,000 and those making less, self-identifying liberals and moderates.

The only major demographic Sanders captured in Georgia was people 17-29.

7:00 p.m.CBS News projects that Hillary Clinton has won the Democratic primaries in Georgia and Virginia, while Bernie Sanders has won Vermont.

6:32 p.m.With the exception of Vermont, majorities of Democratic primary voters said they think that either Hillary Clinton is the only honest or trustworthy candidate or both she and Sanders are trustworthy and honest.

6:19 p.m.With the exception of Sanders' home state of Vermont, majorities of voters feel that Clinton is the candidate who will best be able to handle Supreme Court nominations. This is particularly true in Alabama, Arkansas, Georgia, Tennessee, Texas, and Virginia where between 60 - 76 percent of voters feel Clinton is the best candidate to handle these nominations. She is also is the choice of voters in Massachusetts and Oklahoma, but by a narrower margin (50 - 45 percent).

6:09 p.m. A plurality of Democratic primary voters name the economy as the most important issue facing the country, ahead of healthcare, economic inequality and terrorism. Majorities are also either very or somewhat concerned about the direction of the economy.

Strong majorities of Democratic primary voters in each state participating in Super Tuesday say they're interested in the next president having experience in politics.

6:00 p.m.With the exception of Vermont, majorities of Democratic voters want to continue President Obama's policies. This validates Clinton's efforts to embrace Mr. Obama and his policies and it suggests that among Democratic primary goers, even after seven years, the president remains very popular within his party.

Mr. Obama's policies are most popular in Alabama, where 68 percent of Democratic voters say they want to continue them. Sixty percent of voters in Georgia and Virginia say the same.

In Vermont, 51 percent of voters say they want more liberal policies; one third of voters in Massachusetts and Oklahoma say the same. On the other hand, 22 percent of Democratic voters in Oklahoma say they want less liberal policies.

CBS News Poll Analyst Jeanne Zaino contributed to this report.

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• Hillary Clinton
• Bernie Sanders

Rebecca Shabad

Rebecca Shabad is a video reporter for CBS News Digital.