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7(2-2x-3x)+9(2x+9)=27
We simplify the equation to the form, which is simple to understand
7(2-2x-3x)+9(2x+9)=27
Reorder the terms in parentheses
+(+14-35x)+9*(2x+9)=27
Remove unnecessary parentheses
+14-35x+9+*(+2x+9+)=+27
Reorder the terms in parentheses
+14-35x+(+18x+81)=27
Remove unnecessary parentheses
+14-35x+18x+81=+27
We move all terms containing x to the left and all other terms to the right.
-35x+18x=+27-14-81
We simplify left and right side of the equation.
-17x=-68
We divide both sides of the equation by -17 to get x.
x=4
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