Find three consecutive integers whose sum is -114.

x = 1st

x + 1 = 2nd {consecutive integers increase by 1 each time}

x + 2 = 3rd

x + x + 1 + x + 2 = - 114 {their sum is -114}

3x + 3 = -114 {combined like terms}

3x = -117 {subtracted 3 from both sides}

x = -39 {divided both sides by 3}

x + 1 = -38 {substituted -39, in for x, into x + 1}

x + 2 = -37 {substituted -39, in for x, into x + 2}

-39, -38, and -37 are the three consecutive integers

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