Deng netted 22 points, Hamilton added 19 and Derrick Rose returned from an injury absence with 11 and eight assists for Bulls, who increased their lead over Miami to 2 1/2 games in the Eastern Conference with two games to play.
Chicago is looking to clinch the East's No. 1 seed after seeing their lead over the Heat dwindle during the past two months as Rose was hampered by a series of injuries.
The Mavericks, tied with Denver for the sixth seed in the Western Conference, were led by Dirk Nowitzki with 17 points.
Celebrity Breakups and divorces of 2014 [PHOTOS]