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.4x+.5(20-x)=.10(66)
We simplify the equation to the form, which is simple to understand
.4x+.5(20-x)=.10(66)
Reorder the terms in parentheses
.4x+(+10-0.5x)=.10*(66)
Remove unnecessary parentheses
+.4x+10-0.5x=+.10+*(+66+)
Reorder the terms in parentheses
.4x+10-0.5x=+(+6.6)
Remove unnecessary parentheses
+.4x+10-0.5x=+6.6
We move all terms containing x to the left and all other terms to the right.
+ 0.4x-0.5x=+6.6-10
We simplify left and right side of the equation.
-0.1x=-3.4
We divide both sides of the equation by -0.1 to get x.
x=34
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