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Verified answer
|x + 2| + |2x - 1| = 5x + 2 + 2x - 1 = 5
x + 2x + 2 - 1 = 5
3x + 1 = 5
3x = 5 - 1
3x = 4
x = 4/3
x + 2 + 2x - 1 = -5
x + 2x + 2 - 1 = -5
3x + 1 = -5
3x = -5 - 1
3x = -6
x = -2
HP = {-2, 4/3}