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x+(-1x)=0
We simplify the equation to the form, which is simple to understand
x+(-1x)=0
Remove unnecessary parentheses
+x-1x=0
We move all terms containing x to the left and all other terms to the right.
+1x-1x=0
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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