Chouinard recorded his second career multi-goal game, getting the Wild within 3-2 at 4:32 of the second period before giving them a 5-4 lead with 10:02 to play.
Dupuis scored less than two minutes later and Antti Laaksonen added an empty-netter for the Wild, who snapped a seven-game winless drought (0-2-5), during which they totaled only 12 goals.
Chicago lost its 14th straight road game.
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