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4(4x+1)-8(x-2)=3(2x+5)-1
We simplify the equation to the form, which is simple to understand
4(4x+1)-8(x-2)=3(2x+5)-1
Reorder the terms in parentheses
+(+16x+4)-8*(x-2)=3*(2x+5)-1
Remove unnecessary parentheses
+16x+4-8+*(+x-2+)=+3+*(+2x+5+)-1
Reorder the terms in parentheses
+16x+4+(-8x+16)=3*(2x+5)-1
Remove unnecessary parentheses
+16x+4-8x+16=+3+*(+2x+5+)-1
Reorder the terms in parentheses
+16x+4-8x+16=+(+6x+15)-1
Remove unnecessary parentheses
+16x+4-8x+16=+6x+15-1
We move all terms containing x to the left and all other terms to the right.
+16x-8x-6x=+15-1-4-16
We simplify left and right side of the equation.
+2x=-6
We divide both sides of the equation by 2 to get x.
x=-3
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