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-1/2x+1=1/2x-1
We simplify the equation to the form, which is simple to understand
-1/2x+1=1/2x-1
We move all terms containing x to the left and all other terms to the right.
+2x-2x=-1-1
We simplify left and right side of the equation.
0x=-2
0=-2
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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