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.04(10)+.10(x)=.06(10+x)
We simplify the equation to the form, which is simple to understand
.04(10)+.10(x)=.06(10+x)
Reorder the terms in parentheses
+( + 0.4)+.10*(x)=.06*(10+x)
Remove unnecessary parentheses
+ 0.4+.10+*(+x+)=+.06+*(+10+x+)
Reorder the terms in parentheses
+ 0.4+( + 0.1x)=.06*(10+x)
Remove unnecessary parentheses
+ 0.4 + 0.1x=+.06+*(+10+x+)
Reorder the terms in parentheses
+ 0.4 + 0.1x=+( + 0.6 + 0.06x)
Remove unnecessary parentheses
+ 0.4 + 0.1x=0.6 + 0.06x
We move all terms containing x to the left and all other terms to the right.
+ 0.1x-0.06x=0.6-0.4
We simplify left and right side of the equation.
+ 0.04x=0.2
We divide both sides of the equation by 0.04 to get x.
x=5
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