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-82=-10(x+10)+6(3x+7)
We simplify the equation to the form, which is simple to understand
-82=-10(x+10)+6(3x+7)
Reorder the terms in parentheses
-82=+(-10x-100)+6*(3x+7)
Remove unnecessary parentheses
-82=-10x-100+6+*(+3x+7+)
Reorder the terms in parentheses
-82=-10x-100+(+18x+42)
Remove unnecessary parentheses
-82=-10x-100+18x+42
We move all terms containing x to the left and all other terms to the right.
+10x-18x=-100+42+82
We simplify left and right side of the equation.
-8x=+24
We divide both sides of the equation by -8 to get x.
x=-3
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