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7(x-1)-3(2x+3)=2(x+2)-22
We simplify the equation to the form, which is simple to understand
7(x-1)-3(2x+3)=2(x+2)-22
Reorder the terms in parentheses
+(+7x-7)-3*(2x+3)=2*(x+2)-22
Remove unnecessary parentheses
+7x-7-3+*(+2x+3+)=+2+*(+x+2+)-22
Reorder the terms in parentheses
+7x-7+(-6x-9)=2*(x+2)-22
Remove unnecessary parentheses
+7x-7-6x-9=+2+*(+x+2+)-22
Reorder the terms in parentheses
+7x-7-6x-9=+(+2x+4)-22
Remove unnecessary parentheses
+7x-7-6x-9=+2x+4-22
We move all terms containing x to the left and all other terms to the right.
+7x-6x-2x=+4-22+7+9
We simplify left and right side of the equation.
-1x=-2
We divide both sides of the equation by -1 to get x.
x=2
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