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2x=6x+6
Use the distributive property to multiply 3 by 2x+2.
2x-6x=6
Subtract 6x from both sides.
-4x=6
Combine 2x and -6x to get -4x.
x=\frac{6}{-4}
Divide both sides by -4.
x=-\frac{3}{2}
Reduce the fraction \frac{6}{-4} to lowest terms by extracting and canceling out 2.