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75-7(x+4)=105+6(x+7)-8
We simplify the equation to the form, which is simple to understand
75-7(x+4)=105+6(x+7)-8
Reorder the terms in parentheses
75+(-7x-28)=105+6*(x+7)-8
Remove unnecessary parentheses
+75-7x-28=+105+6+*(+x+7+)-8
Reorder the terms in parentheses
75-7x-28=105+(+6x+42)-8
Remove unnecessary parentheses
+75-7x-28=+105+6x+42-8
We move all terms containing x to the left and all other terms to the right.
-7x-6x=+105+42-8-75+28
We simplify left and right side of the equation.
-13x=+92
We divide both sides of the equation by -13 to get x.
x=-7.0769230769231
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