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0=3x+3-9
Combine 4x and -x to get 3x.
0=3x-6
Subtract 9 from 3 to get -6.
3x-6=0
Swap sides so that all variable terms are on the left hand side.
3x=6
Add 6 to both sides. Anything plus zero gives itself.
x=\frac{6}{3}
Divide both sides by 3.
x=2
Divide 6 by 3 to get 2.