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.04(80x+200)+40=.02(80x+200)+40
We simplify the equation to the form, which is simple to understand
.04(80x+200)+40=.02(80x+200)+40
Reorder the terms in parentheses
+(+3.2x+8)+40=.02*(80x+200)+40
Remove unnecessary parentheses
+3.2x+8+40=+.02+*(+80x+200+)+40
Reorder the terms in parentheses
+3.2x+8+40=+(+1.6x+4)+40
Remove unnecessary parentheses
+3.2x+8+40=+1.6x+4+40
We move all terms containing x to the left and all other terms to the right.
+3.2x-1.6x=+4+40-8-40
We simplify left and right side of the equation.
+1.6x=-4
We divide both sides of the equation by 1.6 to get x.
x=-2.5
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