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9-7(x-1)=3(x-3)-5(x+3)
We simplify the equation to the form, which is simple to understand
9-7(x-1)=3(x-3)-5(x+3)
Reorder the terms in parentheses
9+(-7x+7)=3*(x-3)-5*(x+3)
Remove unnecessary parentheses
+9-7x+7=+3+*(+x-3+)-5+*(+x+3+)
Reorder the terms in parentheses
9-7x+7=+(+3x-9)-5*(x+3)
Remove unnecessary parentheses
+9-7x+7=+3x-9-5+*(+x+3+)
Reorder the terms in parentheses
9-7x+7=+3x-9+(-5x-15)
Remove unnecessary parentheses
+9-7x+7=+3x-9-5x-15
We move all terms containing x to the left and all other terms to the right.
-7x-3x+5x=-9-15-9-7
We simplify left and right side of the equation.
-5x=-40
We divide both sides of the equation by -5 to get x.
x=8
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