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6=3x+9
Combine 4x and -x to get 3x.
3x+9=6
Swap sides so that all variable terms are on the left hand side.
3x=6-9
Subtract 9 from both sides.
3x=-3
Subtract 9 from 6 to get -3.
x=\frac{-3}{3}
Divide both sides by 3.
x=-1
Divide -3 by 3 to get -1.