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3(180-x)-7(90-x)=(1/3)(90)
We simplify the equation to the form, which is simple to understand
3(180-x)-7(90-x)=(1/3)*(90)
Reorder the terms in parentheses
+(+540-3x)-7*(90-x)=( + 0.33333333333333)*(90)
Remove unnecessary parentheses
+540-3x-7+*(+90-x+)=+( + 0.33333333333333+)+*(+90+)
Reorder the terms in parentheses
+540-3x+(-630+7x)=( + 0.33333333333333)*(90)
Remove unnecessary parentheses
+540-3x-630+7x=+( + 0.33333333333333+)+*(+90+)
Reorder the terms in parentheses
multiplication of parentheses
+540-3x-630+7x=(+30)
Remove unnecessary parentheses
+540-3x-630+7x=+30
We move all terms containing x to the left and all other terms to the right.
-3x+7x=+30-540+630
We simplify left and right side of the equation.
+4x=+120
We divide both sides of the equation by 4 to get x.
x=30
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