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7(x+3)-3x=4(x+1)+17
We simplify the equation to the form, which is simple to understand
7(x+3)-3x=4(x+1)+17
Reorder the terms in parentheses
+(+7x+21)-3x=4*(x+1)+17
Remove unnecessary parentheses
+7x+21-3x=+4+*(+x+1+)+17
Reorder the terms in parentheses
+7x+21-3x=+(+4x+4)+17
Remove unnecessary parentheses
+7x+21-3x=+4x+4+17
We move all terms containing x to the left and all other terms to the right.
+7x-3x-4x=+4+17-21
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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