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11(x+2.5)+8(x-3.5)+3(1.5)-2x=120
We simplify the equation to the form, which is simple to understand
11(x+2.5)+8(x-3.5)+3(1.5)-2x=120
Reorder the terms in parentheses
+(+11x+27.5)+8*(x-3.5)+3*(1.5)-2x=120
Remove unnecessary parentheses
+11x+27.5+8+*(+x-3.5+)+3+*(+1.5+)-2x=+120
Reorder the terms in parentheses
+11x+27.5+(+8x-28)+3*(1.5)-2x=120
Remove unnecessary parentheses
+11x+27.5+8x-28+3+*(+1.5+)-2x=+120
Reorder the terms in parentheses
+11x+27.5+8x-28+(+4.5)-2x=120
Remove unnecessary parentheses
+11x+27.5+8x-28+4.5-2x=+120
We move all terms containing x to the left and all other terms to the right.
+11x+8x-2x=+120-27.5+28-4.5
We simplify left and right side of the equation.
+17x=+116
We divide both sides of the equation by 17 to get x.
x=6.8235294117647
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