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.45x+.05(4-x)=.10(42)
We simplify the equation to the form, which is simple to understand
.45x+.05(4-x)=.10(42)
Reorder the terms in parentheses
.45x+( + 0.2-0.05x)=.10*(42)
Remove unnecessary parentheses
+.45x + 0.2-0.05x=+.10+*(+42+)
Reorder the terms in parentheses
.45x + 0.2-0.05x=+(+4.2)
Remove unnecessary parentheses
+.45x + 0.2-0.05x=+4.2
We move all terms containing x to the left and all other terms to the right.
+ 0.45x-0.05x=+4.2-0.2
We simplify left and right side of the equation.
+ 0.4x=+4
We divide both sides of the equation by 0.4 to get x.
x=10
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