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17*(5-8x)-15*(8-2x)=13*(7-4x)-12*(3-3x)
We simplify the equation to the form, which is simple to understand
17*(5-8x)-15*(8-2x)=13*(7-4x)-12*(3-3x)
Reorder the terms in parentheses
+(+85-136x)-15*(8-2x)=13*(7-4x)-12*(3-3x)
Remove unnecessary parentheses
+85-136x-15+*(+8-2x+)=+13+*(+7-4x+)-12+*(+3-3x+)
Reorder the terms in parentheses
+85-136x+(-120+30x)=13*(7-4x)-12*(3-3x)
Remove unnecessary parentheses
+85-136x-120+30x=+13+*(+7-4x+)-12+*(+3-3x+)
Reorder the terms in parentheses
+85-136x-120+30x=+(+91-52x)-12*(3-3x)
Remove unnecessary parentheses
+85-136x-120+30x=+91-52x-12+*(+3-3x+)
Reorder the terms in parentheses
+85-136x-120+30x=+91-52x+(-36+36x)
Remove unnecessary parentheses
+85-136x-120+30x=+91-52x-36+36x
We move all terms containing x to the left and all other terms to the right.
-136x+30x+52x-36x=+91-36-85+120
We simplify left and right side of the equation.
-90x=+90
We divide both sides of the equation by -90 to get x.
x=-1
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