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.4x+.25(145-x)=52.20
We simplify the equation to the form, which is simple to understand
.4x+.25(145-x)=52.20
Reorder the terms in parentheses
.4x+(+36.25-0.25x)=52.20
Remove unnecessary parentheses
+.4x+36.25-0.25x=+52.20
We move all terms containing x to the left and all other terms to the right.
+ 0.4x-0.25x=+52.2-36.25
We simplify left and right side of the equation.
+ 0.15x=+15.95
We divide both sides of the equation by 0.15 to get x.
x=106.333333333
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