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13 (x-2)-(12x-13)+2 (150+x)=314
We simplify the equation to the form, which is simple to understand
13(x-2)-(12x-13)+2(150+x)=314
Reorder the terms in parentheses
+(+13x-26)-(12x-13)+2*(150+x)=314
Remove unnecessary parentheses
+13x-26-(+12x-13+)+2+*(+150+x+)=+314
Remove unnecessary parentheses
+13x-26-12x+13+2*(150+x)=314
Reorder the terms in parentheses
+13x-26-12x+13+(+300+2x)=314
Remove unnecessary parentheses
+13x-26-12x+13+300+2x=+314
We move all terms containing x to the left and all other terms to the right.
+13x-12x+2x=+314+26-13-300
We simplify left and right side of the equation.
+3x=+27
We divide both sides of the equation by 3 to get x.
x=9
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