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4(x+2)+7=9+3(x-4)
We simplify the equation to the form, which is simple to understand
4(x+2)+7=9+3(x-4)
Reorder the terms in parentheses
+(+4x+8)+7=9+3*(x-4)
Remove unnecessary parentheses
+4x+8+7=+9+3+*(+x-4+)
Reorder the terms in parentheses
+4x+8+7=9+(+3x-12)
Remove unnecessary parentheses
+4x+8+7=+9+3x-12
We move all terms containing x to the left and all other terms to the right.
+4x-3x=+9-12-8-7
We simplify left and right side of the equation.
+1x=-18
We divide both sides of the equation by 1 to get x.
x=-18
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