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3(x-5)+7x=45-2(6+3x)
We simplify the equation to the form, which is simple to understand
3(x-5)+7x=45-2(6+3x)
Reorder the terms in parentheses
+(+3x-15)+7x=45-2*(6+3x)
Remove unnecessary parentheses
+3x-15+7x=+45-2+*(+6+3x+)
Reorder the terms in parentheses
+3x-15+7x=45+(-12-6x)
Remove unnecessary parentheses
+3x-15+7x=+45-12-6x
We move all terms containing x to the left and all other terms to the right.
+3x+7x+6x=+45-12+15
We simplify left and right side of the equation.
+16x=+48
We divide both sides of the equation by 16 to get x.
x=3
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