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6(x)+2(50)=5(50-x)
We simplify the equation to the form, which is simple to understand
6(x)+2(50)=5(50-x)
Reorder the terms in parentheses
+(+6x)+2*(50)=5*(50-x)
Remove unnecessary parentheses
+6x+2+*(+50+)=+5+*(+50-x+)
Reorder the terms in parentheses
+6x+(+100)=5*(50-x)
Remove unnecessary parentheses
+6x+100=+5+*(+50-x+)
Reorder the terms in parentheses
+6x+100=+(+250-5x)
Remove unnecessary parentheses
+6x+100=+250-5x
We move all terms containing x to the left and all other terms to the right.
+6x+5x=+250-100
We simplify left and right side of the equation.
+11x=+150
We divide both sides of the equation by 11 to get x.
x=13.636363636364
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