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4(x-2)+31(-x+4)=-2(x-3)
We simplify the equation to the form, which is simple to understand
4(x-2)+31(-x+4)=-2(x-3)
Reorder the terms in parentheses
+(+4x-8)+31*(-x+4)=-2*(x-3)
Remove unnecessary parentheses
+4x-8+31+*(-x+4+)=-2+*(+x-3+)
Reorder the terms in parentheses
+4x-8+(-31x+124)=-2*(x-3)
Remove unnecessary parentheses
+4x-8-31x+124=-2+*(+x-3+)
Reorder the terms in parentheses
+4x-8-31x+124=+(-2x+6)
Remove unnecessary parentheses
+4x-8-31x+124=-2x+6
We move all terms containing x to the left and all other terms to the right.
+4x-31x+2x=+6+8-124
We simplify left and right side of the equation.
-25x=-110
We divide both sides of the equation by -25 to get x.
x=4.4
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