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3+3x>4x+9
Combine 5x and -2x to get 3x.
3+3x-4x>9
Subtract 4x from both sides.
3-x>9
Combine 3x and -4x to get -x.
-x>9-3
Subtract 3 from both sides.
-x>6
Subtract 3 from 9 to get 6.
x<-6
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.