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The Democratic nominee is favored by 49 percent of likely voters in the state, and Trump has the support of 37 percent.

Ninety-five percent of the state's Democrats back Clinton, and Trump has the support of only 79 percent of Republicans. Only 6 percent of Virginia's Republicans say they plan to support Clinton.

According to the poll, 57 percent of respondents say Clinton is prepared to be commander in chief while 36 percent say the same of Trump. Still, only 33 percent of respondents think Clinton "tells the truth" and fewer than half say she'll "look out for people like you."

About two-thirds of respondents think Trump can bring change to Washington, while only 34 percent say the same about Clinton.

In Arizona, Trump has a small lead over Clinton: 44 percent to 42 percent among likely voters. About 80 percent of the state's Hispanic voters feel they're more motivated to vote this year than in previous elections and they don't think Trump treats all people fairly.

Clinton also has a slight advantage over Trump in Nevada, 43 percent to 41 percent. She is doing well among Hispanic and younger voters in the state but is having more trouble with older white voters.

The CBS News poll was conducted among 3,269 registered voters in Virginia, Arizona and Nevada. The Virginia poll was has a margin of error of 3.7 points. The Arizona poll has a margin of error of 4.8 points. The Nevada poll has a margin of error of 4.6 points.