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7+3(6-x)=43-3(x+6)
We simplify the equation to the form, which is simple to understand
7+3(6-x)=43-3(x+6)
Reorder the terms in parentheses
7+(+18-3x)=43-3*(x+6)
Remove unnecessary parentheses
+7+18-3x=+43-3+*(+x+6+)
Reorder the terms in parentheses
7+18-3x=43+(-3x-18)
Remove unnecessary parentheses
+7+18-3x=+43-3x-18
We move all terms containing x to the left and all other terms to the right.
-3x+3x=+43-18-7-18
We simplify left and right side of the equation.
0x=0
0=0
This equation is an identity, so all real numbers are solutions.
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