Answer
$P(X = -2) = P(X = -1) = .2$
Work Step by Step
Let $y = P(X = -2) = P(X = -1)$. Since the probabilities must sum up to 1, we have $y + y + .4 + .1 + .1 = 1$, i.e. $2y + .6 = .1$, so $2y = .4$ and $y = .2$.
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