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Let's denote the two integers as x and y. We know that x + y = -9 and x - y = 5. By solving these two equations simultaneously, we can find the values of x and y. Adding the two equations eliminates the y variable, giving us 2x = -4. Therefore, x = -2. Substituting x = -2 back into the first equation gives us y = -7. Thus, the two integers are -2 and -7.

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