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AT-OEMO-FED1 1991 Problem 2

    Solve in real numbers the equation:

    1x+1x+2−1x+4−1x+6−1x+8−1x+10+1x+12+1x+14=0.\frac{1}{x}+\frac{1}{x+2}-\frac{1}{x+4}-\frac{1}{x+6}-\frac{1}{x+8}-\frac{1}{x+10}+\frac{1}{x+12}+\frac{1}{x+14}=0.

    Dataset text AI-MO AoPS. Quoted with source.

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