Simplify the trigonometric expression sin (4x) + 2sin (2x) using Double-Angle Identities.
A. 8sin (x) cos^3 (x) - 8sin (x) cos (x)
B. 8sin (x) cos^3 (x) + 8sin (x) cos (x)
C. 8sin (x) cos^3 (x) - 4sin^3 (x) cos (x)
D. 8sin (x) cos^3 (x)
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