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4(x+7)+2=7x-3(x-4)
We simplify the equation to the form, which is simple to understand
4(x+7)+2=7x-3(x-4)
Reorder the terms in parentheses
+(+4x+28)+2=7x-3*(x-4)
Remove unnecessary parentheses
+4x+28+2=+7x-3+*(+x-4+)
Reorder the terms in parentheses
+4x+28+2=7x+(-3x+12)
Remove unnecessary parentheses
+4x+28+2=+7x-3x+12
We move all terms containing x to the left and all other terms to the right.
+4x-7x+3x=+12-28-2
We simplify left and right side of the equation.
0x=-18
0=-18
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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