Steve Mason stopped 30 shots in defeat.
Toews' wrister in front of the net gave the Blackhawks a 1-0 lead 6:54 into the opening period.
Minutes later, Clitsome's long power play slap shot tied the game, but Chicago reeled off five unanswered goals to secure the bounceback victory.
Toews' sharp-angle wrister near the icing line came late in the first and Brunette snuck from behind the net on the power play to bury a rebound for a 3-1 lead early in the second.
At the midway point of the middle period, Montador took advantage of the power play, receiving a pass from Duncan Keith and burying a high, glove-side snap shot.
Later, Dan Carcillo found Kane for a breakaway backhand and a 5-1 advantage at the second intermission.
Hossa and Letestu, who was acquired from the Penguins earlier this week, tallied early in the third and Clitsome added a goal late in regulation to cap the scoring.
The Blackhawks lead the season series 2-0. They won the first meeting between the teams, 5-2, on October 29...Kane has eight points in his last six games...Chicago has won four straight at Nationwide Arena.