[Solution] Solve for x and check for extraneous solutions:
Question: Solve for x and check for extraneous solutions:
\[\frac{\mathrm{3}}{\mathrm{x}+\mathrm{1}}-\frac{\mathrm{x}-\mathrm{2}}{\mathrm{2}}=\frac{\mathrm{x}-\mathrm{2}}{\mathrm{x}+\mathrm{1}}\]
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