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5(x+3)-2(x+1)=7(2-x)-(3x+1)
We simplify the equation to the form, which is simple to understand
5(x+3)-2(x+1)=7(2-x)-(3x+1)
Reorder the terms in parentheses
+(+5x+15)-2*(x+1)=7*(2-x)-(3x+1)
Remove unnecessary parentheses
+5x+15-2+*(+x+1+)=+7+*(+2-x+)-(+3x+1+)
Reorder the terms in parentheses
+5x+15+(-2x-2)=7*(2-x)-(3x+1)
Remove unnecessary parentheses
+5x+15-2x-2=+7+*(+2-x+)-(+3x+1+)
Reorder the terms in parentheses
+5x+15-2x-2=+(+14-7x)-(3x+1)
Remove unnecessary parentheses
+5x+15-2x-2=+14-7x-(+3x+1+)
Remove unnecessary parentheses
+5x+15-2x-2=+14-7x-3x-1
We move all terms containing x to the left and all other terms to the right.
+5x-2x+7x+3x=+14-1-15+2
We simplify left and right side of the equation.
+13x=0
We divide both sides of the equation by 13 to get x.
x=0
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