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3(5-x)-3(3-4x)=13-2(x+1)
We simplify the equation to the form, which is simple to understand
3(5-x)-3(3-4x)=13-2(x+1)
Reorder the terms in parentheses
+(+15-3x)-3*(3-4x)=13-2*(x+1)
Remove unnecessary parentheses
+15-3x-3+*(+3-4x+)=+13-2+*(+x+1+)
Reorder the terms in parentheses
+15-3x+(-9+12x)=13-2*(x+1)
Remove unnecessary parentheses
+15-3x-9+12x=+13-2+*(+x+1+)
Reorder the terms in parentheses
+15-3x-9+12x=13+(-2x-2)
Remove unnecessary parentheses
+15-3x-9+12x=+13-2x-2
We move all terms containing x to the left and all other terms to the right.
-3x+12x+2x=+13-2-15+9
We simplify left and right side of the equation.
+11x=+5
We divide both sides of the equation by 11 to get x.
x=0.45454545454545
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