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4(x+4)-(5x+5)=4(2x-3)-13
We simplify the equation to the form, which is simple to understand
4(x+4)-(5x+5)=4(2x-3)-13
Reorder the terms in parentheses
+(+4x+16)-(5x+5)=4*(2x-3)-13
Remove unnecessary parentheses
+4x+16-(+5x+5+)=+4+*(+2x-3+)-13
Remove unnecessary parentheses
+4x+16-5x-5=4*(2x-3)-13
Reorder the terms in parentheses
+4x+16-5x-5=+(+8x-12)-13
Remove unnecessary parentheses
+4x+16-5x-5=+8x-12-13
We move all terms containing x to the left and all other terms to the right.
+4x-5x-8x=-12-13-16+5
We simplify left and right side of the equation.
-9x=-36
We divide both sides of the equation by -9 to get x.
x=4
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