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6(x+14)+3(17-x)=0
We simplify the equation to the form, which is simple to understand
6(x+14)+3(17-x)=0
Reorder the terms in parentheses
+(+6x+84)+3*(17-x)=0
Remove unnecessary parentheses
+6x+84+3+*(+17-x+)=0
Reorder the terms in parentheses
+6x+84+(+51-3x)=0
Remove unnecessary parentheses
+6x+84+51-3x=0
We move all terms containing x to the left and all other terms to the right.
+6x-3x=0-84-51
We simplify left and right side of the equation.
+3x=-135
We divide both sides of the equation by 3 to get x.
x=-45
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