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6(x-1)-4(x-2)-3(x-3)=0
We simplify the equation to the form, which is simple to understand
6(x-1)-4(x-2)-3(x-3)=0
Reorder the terms in parentheses
+(+6x-6)-4*(x-2)-3*(x-3)=0
Remove unnecessary parentheses
+6x-6-4+*(+x-2+)-3+*(+x-3+)=0
Reorder the terms in parentheses
+6x-6+(-4x+8)-3*(x-3)=0
Remove unnecessary parentheses
+6x-6-4x+8-3+*(+x-3+)=0
Reorder the terms in parentheses
+6x-6-4x+8+(-3x+9)=0
Remove unnecessary parentheses
+6x-6-4x+8-3x+9=0
We move all terms containing x to the left and all other terms to the right.
+6x-4x-3x=0+6-8-9
We simplify left and right side of the equation.
-1x=-11
We divide both sides of the equation by -1 to get x.
x=11
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