And in her Tuesday night victory speech, Clinton struck a general election tone, hitting out several times at GOP front-runner Donald Trump and speaking of party unity.

"Whether you support Sen. Sanders or you support me: There's much more that unites us than divides us," Clinton said, pointing to Democrats' agreement that "wages are too low, and inequality is too high, that Wall Street can never again be allowed to threaten main street, and we should expand Social Security — not cut or privatize it."

Early exit polls painted a picture of the voter base in Tuesday's Democratic contests: The U.S. economy was the most important issue for 44 percent of respondents, followed by 22 percent saying income inequality and 20 percent pointing to health care, according to NBC News.

Keeping with the themes of their candidate's campaign, 78 percent of Tuesday Sanders voters said they believed that Wall Street hurts the U.S. economy. Only 51 percent of Clinton supporters agreed, according to early exit polls from NBC News.

Interestingly, 82 percent of Clinton supporters in Pennsylvania said they thought the ongoing Democratic campaign has energized the party, while only 58 percent of Sanders voters in the state said the same. A minority of Pennsylvania respondents behind both candidates said the race had divided their party — 37 percent for Sanders and only 12 percent for Clinton, NBC reported.

On gun control, 57 percent of Tuesday Democratic voters said they thought Clinton would better handle that issue, and 37 percent said Sanders, according to an early exit poll.