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-6(x+7)=8x-2(x-9)
We simplify the equation to the form, which is simple to understand
-6(x+7)=8x-2(x-9)
Reorder the terms in parentheses
+(-6x-42)=8x-2*(x-9)
Remove unnecessary parentheses
-6x-42=+8x-2+*(+x-9+)
Reorder the terms in parentheses
-6x-42=8x+(-2x+18)
Remove unnecessary parentheses
-6x-42=+8x-2x+18
We move all terms containing x to the left and all other terms to the right.
-6x-8x+2x=+18+42
We simplify left and right side of the equation.
-12x=+60
We divide both sides of the equation by -12 to get x.
x=-5
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