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15(9-x)+20(5x+1)=12(3x+7)-24(1-6x)
We simplify the equation to the form, which is simple to understand
15(9-x)+20(5x+1)=12(3x+7)-24(1-6x)
Reorder the terms in parentheses
+(+135-15x)+20*(5x+1)=12*(3x+7)-24*(1-6x)
Remove unnecessary parentheses
+135-15x+20+*(+5x+1+)=+12+*(+3x+7+)-24+*(+1-6x+)
Reorder the terms in parentheses
+135-15x+(+100x+20)=12*(3x+7)-24*(1-6x)
Remove unnecessary parentheses
+135-15x+100x+20=+12+*(+3x+7+)-24+*(+1-6x+)
Reorder the terms in parentheses
+135-15x+100x+20=+(+36x+84)-24*(1-6x)
Remove unnecessary parentheses
+135-15x+100x+20=+36x+84-24+*(+1-6x+)
Reorder the terms in parentheses
+135-15x+100x+20=+36x+84+(-24+144x)
Remove unnecessary parentheses
+135-15x+100x+20=+36x+84-24+144x
We move all terms containing x to the left and all other terms to the right.
-15x+100x-36x-144x=+84-24-135-20
We simplify left and right side of the equation.
-95x=-95
We divide both sides of the equation by -95 to get x.
x=1
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