First, substitute $x = 4i$ into the expression:
$\frac{(4i)^2 + 11}{3 - 4i}$
Now, simplify the numerator and denominator:
Numerator: $(4i)^2 + 11 = 16i^2 + 11 = 16(-1) + 11 = -5$
Denominator: $3 - 4i$
So, the expression becomes:
$\frac{-5}{3 - 4i}$
To get
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