Events $A$, $B$, and $C$ are mutually exclusive and exhaustive. $P(A) = 0.3$, $P(B) = 0.5$, $P(C) = 0.2$. An event $X$ occurs: $P(X|A) = 0.4$, $P(X|B) = 0.5$, $P(X|C) = 0.6$. What is $P(A|X)$?