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5(x-3)-2(x-7)=7-7(2x+6)
We simplify the equation to the form, which is simple to understand
5(x-3)-2(x-7)=7-7(2x+6)
Reorder the terms in parentheses
+(+5x-15)-2*(x-7)=7-7*(2x+6)
Remove unnecessary parentheses
+5x-15-2+*(+x-7+)=+7-7+*(+2x+6+)
Reorder the terms in parentheses
+5x-15+(-2x+14)=7-7*(2x+6)
Remove unnecessary parentheses
+5x-15-2x+14=+7-7+*(+2x+6+)
Reorder the terms in parentheses
+5x-15-2x+14=7+(-14x-42)
Remove unnecessary parentheses
+5x-15-2x+14=+7-14x-42
We move all terms containing x to the left and all other terms to the right.
+5x-2x+14x=+7-42+15-14
We simplify left and right side of the equation.
+17x=-34
We divide both sides of the equation by 17 to get x.
x=-2
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