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-6(x-4)+7(7x+6)=42(x+2)+4
We simplify the equation to the form, which is simple to understand
-6(x-4)+7(7x+6)=42(x+2)+4
Reorder the terms in parentheses
+(-6x+24)+7*(7x+6)=42*(x+2)+4
Remove unnecessary parentheses
-6x+24+7+*(+7x+6+)=+42+*(+x+2+)+4
Reorder the terms in parentheses
-6x+24+(+49x+42)=42*(x+2)+4
Remove unnecessary parentheses
-6x+24+49x+42=+42+*(+x+2+)+4
Reorder the terms in parentheses
-6x+24+49x+42=+(+42x+84)+4
Remove unnecessary parentheses
-6x+24+49x+42=+42x+84+4
We move all terms containing x to the left and all other terms to the right.
-6x+49x-42x=+84+4-24-42
We simplify left and right side of the equation.
+1x=+22
We divide both sides of the equation by 1 to get x.
x=22
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