Determine all real solutions of the equation:
\[
\frac{x^{2}}{x-1} + \sqrt{x-1} + \frac{\sqrt{x-1}}{x^{2}} = \frac{x-1}{x^{2}} + \frac{1}{\sqrt{x-1}} + \frac{x^{2}}{\sqrt{x-1}}.
\]

Let's think step by step and output the final answer within \boxed{}.
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