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20*(4x+1)-24(3x+1)=15*60-60*(25-x)
We simplify the equation to the form, which is simple to understand
20*(4x+1)-24(3x+1)=15*60-60*(25-x)
Simplifying:
20*(4x+1)-24*(3x+1)=+900-60*(25-x)
Reorder the terms in parentheses
+(+80x+20)-24*(3x+1)=+900-60*(25-x)
Remove unnecessary parentheses
+80x+20-24+*(+3x+1+)=+900-60+*(+25-x+)
Reorder the terms in parentheses
+80x+20+(-72x-24)=+900-60*(25-x)
Remove unnecessary parentheses
+80x+20-72x-24=+900-60+*(+25-x+)
Reorder the terms in parentheses
+80x+20-72x-24=+900+(-1500+60x)
Remove unnecessary parentheses
+80x+20-72x-24=+900-1500+60x
We move all terms containing x to the left and all other terms to the right.
+80x-72x-60x=+900-1500-20+24
We simplify left and right side of the equation.
-52x=-596
We divide both sides of the equation by -52 to get x.
x=11.4615384615
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