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7-8x+9(x-3)+2(2x-15)=21+6x-3(4x-17)-x+10
We simplify the equation to the form, which is simple to understand
7-8x+9(x-3)+2(2x-15)=21+6x-3(4x-17)-x+10
Reorder the terms in parentheses
7-8x+(+9x-27)+2*(2x-15)=21+6x-3*(4x-17)-x+10
Remove unnecessary parentheses
+7-8x+9x-27+2+*(+2x-15+)=+21+6x-3+*(+4x-17+)-x+10
Reorder the terms in parentheses
7-8x+9x-27+(+4x-30)=21+6x-3*(4x-17)-x+10
Remove unnecessary parentheses
+7-8x+9x-27+4x-30=+21+6x-3+*(+4x-17+)-x+10
Reorder the terms in parentheses
7-8x+9x-27+4x-30=21+6x+(-12x+51)-x+10
Remove unnecessary parentheses
+7-8x+9x-27+4x-30=+21+6x-12x+51-x+10
We move all terms containing x to the left and all other terms to the right.
-8x+9x+4x-6x+12x+1x=+21+51+10-7+27+30
We simplify left and right side of the equation.
+12x=+132
We divide both sides of the equation by 12 to get x.
x=11
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