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3*(3x+7)=5*(3x+8)-2*(4x-17)
We simplify the equation to the form, which is simple to understand
3*(3x+7)=5*(3x+8)-2*(4x-17)
Reorder the terms in parentheses
+(+9x+21)=5*(3x+8)-2*(4x-17)
Remove unnecessary parentheses
+9x+21=+5+*(+3x+8+)-2+*(+4x-17+)
Reorder the terms in parentheses
+9x+21=+(+15x+40)-2*(4x-17)
Remove unnecessary parentheses
+9x+21=+15x+40-2+*(+4x-17+)
Reorder the terms in parentheses
+9x+21=+15x+40+(-8x+34)
Remove unnecessary parentheses
+9x+21=+15x+40-8x+34
We move all terms containing x to the left and all other terms to the right.
+9x-15x+8x=+40+34-21
We simplify left and right side of the equation.
+2x=+53
We divide both sides of the equation by 2 to get x.
x=26.5
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