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17(x-5)=6(7-x)-7x
We simplify the equation to the form, which is simple to understand
17(x-5)=6(7-x)-7x
Reorder the terms in parentheses
+(+17x-85)=6*(7-x)-7x
Remove unnecessary parentheses
+17x-85=+6+*(+7-x+)-7x
Reorder the terms in parentheses
+17x-85=+(+42-6x)-7x
Remove unnecessary parentheses
+17x-85=+42-6x-7x
We move all terms containing x to the left and all other terms to the right.
+17x+6x+7x=+42+85
We simplify left and right side of the equation.
+30x=+127
We divide both sides of the equation by 30 to get x.
x=4.2333333333333
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