a) $$\frac{x-1}{x+1} = \frac{1}{x-1}$$ b) $$\frac{x}{(2x-3)} + \frac{x}{2x+2} = \frac{2x}{(x+1)(x-3)}$$ c) $$\frac{1}{x-2} + 3 = \frac{3-x}{x-2}$$ d) $$\frac{x+1}{x-2} = \frac{1}{x^{2}-4}$$

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