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6(x+24)+3(x-2)=45
We simplify the equation to the form, which is simple to understand
6(x+24)+3(x-2)=45
Reorder the terms in parentheses
+(+6x+144)+3*(x-2)=45
Remove unnecessary parentheses
+6x+144+3+*(+x-2+)=+45
Reorder the terms in parentheses
+6x+144+(+3x-6)=45
Remove unnecessary parentheses
+6x+144+3x-6=+45
We move all terms containing x to the left and all other terms to the right.
+6x+3x=+45-144+6
We simplify left and right side of the equation.
+9x=-93
We divide both sides of the equation by 9 to get x.
x=-10.333333333333
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