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50*x+120*(92-x)=8380
We simplify the equation to the form, which is simple to understand
50*x+120*(92-x)=8380
Simplifying:
+50x+120*(92-x)=8380
Reorder the terms in parentheses
+50x+(+11040-120x)=8380
Remove unnecessary parentheses
+50x+11040-120x=+8380
We move all terms containing x to the left and all other terms to the right.
+50x-120x=+8380-11040
We simplify left and right side of the equation.
-70x=-2660
We divide both sides of the equation by -70 to get x.
x=38
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