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.5(100+20x)=400
We simplify the equation to the form, which is simple to understand
.5(100+20x)=400
Reorder the terms in parentheses
+(+50+10x)=400
Remove unnecessary parentheses
+50+10x=+400
We move all terms containing x to the left and all other terms to the right.
+10x=+400-50
We simplify left and right side of the equation.
+10x=+350
We divide both sides of the equation by 10 to get x.
x=35
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