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10x+12(-4+3x)-5(2x+7)+170=14x-36+5(2x-4)+71
We simplify the equation to the form, which is simple to understand
10x+12(-4+3x)-5(2x+7)+170=14x-36+5(2x-4)+71
Reorder the terms in parentheses
10x+(-48+36x)-5*(2x+7)+170=14x-36+5*(2x-4)+71
Remove unnecessary parentheses
+10x-48+36x-5+*(+2x+7+)+170=+14x-36+5+*(+2x-4+)+71
Reorder the terms in parentheses
10x-48+36x+(-10x-35)+170=14x-36+5*(2x-4)+71
Remove unnecessary parentheses
+10x-48+36x-10x-35+170=+14x-36+5+*(+2x-4+)+71
Reorder the terms in parentheses
10x-48+36x-10x-35+170=14x-36+(+10x-20)+71
Remove unnecessary parentheses
+10x-48+36x-10x-35+170=+14x-36+10x-20+71
We move all terms containing x to the left and all other terms to the right.
+10x+36x-10x-14x-10x=-36-20+71+48+35-170
We simplify left and right side of the equation.
+12x=-72
We divide both sides of the equation by 12 to get x.
x=-6
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