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3.80x+2.40(100-x)=2.96(100)
We simplify the equation to the form, which is simple to understand
3.80x+2.40(100-x)=2.96(100)
Reorder the terms in parentheses
3.80x+(+240-2.4x)=2.96*(100)
Remove unnecessary parentheses
+3.80x+240-2.4x=+2.96+*(+100+)
Reorder the terms in parentheses
3.80x+240-2.4x=+(+296)
Remove unnecessary parentheses
+3.80x+240-2.4x=+296
We move all terms containing x to the left and all other terms to the right.
+3.8x-2.4x=+296-240
We simplify left and right side of the equation.
+1.4x=+56
We divide both sides of the equation by 1.4 to get x.
x=40
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