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6[x-1]=9[x-4]
We simplify the equation to the form, which is simple to understand
6(x-1)=9(x-4)
Reorder the terms in parentheses
+(+6x-6)=9*(x-4)
Remove unnecessary parentheses
+6x-6=+9+*(+x-4+)
Reorder the terms in parentheses
+6x-6=+(+9x-36)
Remove unnecessary parentheses
+6x-6=+9x-36
We move all terms containing x to the left and all other terms to the right.
+6x-9x=-36+6
We simplify left and right side of the equation.
-3x=-30
We divide both sides of the equation by -3 to get x.
x=10
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