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3x-5(5x-7)=2(x+9)+45
We simplify the equation to the form, which is simple to understand
3x-5(5x-7)=2(x+9)+45
Reorder the terms in parentheses
3x+(-25x+35)=2*(x+9)+45
Remove unnecessary parentheses
+3x-25x+35=+2+*(+x+9+)+45
Reorder the terms in parentheses
3x-25x+35=+(+2x+18)+45
Remove unnecessary parentheses
+3x-25x+35=+2x+18+45
We move all terms containing x to the left and all other terms to the right.
+3x-25x-2x=+18+45-35
We simplify left and right side of the equation.
-24x=+28
We divide both sides of the equation by -24 to get x.
x=-1.16666666667
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