Evaluate the indefinite integral ∫ 96 dx / (x^2 * sqrt(x^2 + 16)) using the substitution x = 4tan(θ).

A) -4 / (x * sqrt(x^2 + 16)) + C
B) 4 / (x * sqrt(x^2 + 16)) + C
C) 1 / (x * sqrt(x^2 + 16)) + C
D) -1 / (x * sqrt(x^2 + 16)) + C