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3(2x-2)-x+3x=2(7x+1)-5x-9
We simplify the equation to the form, which is simple to understand
3(2x-2)-x+3x=2(7x+1)-5x-9
Reorder the terms in parentheses
+(+6x-6)-x+3x=2*(7x+1)-5x-9
Remove unnecessary parentheses
+6x-6-x+3x=+2+*(+7x+1+)-5x-9
Reorder the terms in parentheses
+6x-6-x+3x=+(+14x+2)-5x-9
Remove unnecessary parentheses
+6x-6-x+3x=+14x+2-5x-9
We move all terms containing x to the left and all other terms to the right.
+6x-1x+3x-14x+5x=+2-9+6
We simplify left and right side of the equation.
-1x=-1
We divide both sides of the equation by -1 to get x.
x=1
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