Bosh provided 28 points with 10 rebounds and Wade added 23 and 10 for the Heat, who rolled despite the absence of James -- out with a broken nose sustained in Miami's rout of Oklahoma City Thursday.
The superstar forward is expected back in the lineup Thursday against New York.
Mario Chalmers contributed 12 points and nine assists in the Heat's fifth straight win.
Joakim Noah supplied 20 points and 15 rebounds for the Bulls, whose five-game winning streak was snapped.
Taj Gibson totaled 20 and 10.
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