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3x+6+2x=7\left(x-1\right)+9
Use the distributive property to multiply 3 by x+2.
5x+6=7\left(x-1\right)+9
Combine 3x and 2x to get 5x.
5x+6=7x-7+9
Use the distributive property to multiply 7 by x-1.
5x+6=7x+2
Add -7 and 9 to get 2.
5x+6-7x=2
Subtract 7x from both sides.
-2x+6=2
Combine 5x and -7x to get -2x.
-2x=2-6
Subtract 6 from both sides.
-2x=-4
Subtract 6 from 2 to get -4.
x=\frac{-4}{-2}
Divide both sides by -2.
x=2
Divide -4 by -2 to get 2.