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x+8(12-x)=7x-(5x-42)
We simplify the equation to the form, which is simple to understand
x+8(12-x)=7x-(5x-42)
Reorder the terms in parentheses
x+(+96-8x)=7x-(5x-42)
Remove unnecessary parentheses
+x+96-8x=+7x-(+5x-42+)
Remove unnecessary parentheses
x+96-8x=7x-5x+42
We move all terms containing x to the left and all other terms to the right.
+1x-8x-7x+5x=+42-96
We simplify left and right side of the equation.
-9x=-54
We divide both sides of the equation by -9 to get x.
x=6
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