Andrew Shaw and Kris Versteeg also lit the lamp for the Blackhawks, who have won three of their last four and took the season series against their Central Division rivals by a 4-1-0 count.
Corey Crawford stopped 25-of-27 shots for the victorious hosts.
Ryan Garbutt registered both goals for the Stars, while Kari Lehtonen came up with 38 saves in the loss.
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