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x+1/x-x/x+1=0
We simplify the equation to the form, which is simple to understand
x+1/x-x/x+1=0
We move all terms containing x to the left and all other terms to the right.
0=0-1+1-1
We simplify left and right side of the equation.
0=-1
0=-1
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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