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5(9-x)=7(2x+1)
We simplify the equation to the form, which is simple to understand
5(9-x)=7(2x+1)
Reorder the terms in parentheses
+(+45-5x)=7*(2x+1)
Remove unnecessary parentheses
+45-5x=+7+*(+2x+1+)
Reorder the terms in parentheses
+45-5x=+(+14x+7)
Remove unnecessary parentheses
+45-5x=+14x+7
We move all terms containing x to the left and all other terms to the right.
-5x-14x=+7-45
We simplify left and right side of the equation.
-19x=-38
We divide both sides of the equation by -19 to get x.
x=2
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