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2(x-4)+3(x+1)=45
We simplify the equation to the form, which is simple to understand
2(x-4)+3(x+1)=45
Reorder the terms in parentheses
+(+2x-8)+3*(x+1)=45
Remove unnecessary parentheses
+2x-8+3+*(+x+1+)=+45
Reorder the terms in parentheses
+2x-8+(+3x+3)=45
Remove unnecessary parentheses
+2x-8+3x+3=+45
We move all terms containing x to the left and all other terms to the right.
+2x+3x=+45+8-3
We simplify left and right side of the equation.
+5x=+50
We divide both sides of the equation by 5 to get x.
x=10
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