Giải phương trình: \( \sqrt 3 \sin 2x + \sin \left( { \frac{ \pi }{2} + 2x} \right) = 2 \sin x \).
A.\(x \in \left\{ {\frac{\pi }{6} + k2\pi ;\frac{{5\pi }}{{18}} + \frac{{k2\pi }}{3},k \in \mathbb{Z}} \right\}\)
B.\(x \in \left\{ { - \frac{\pi }{6} + k2\pi ;\frac{{5\pi }}{{18}} + k2\pi ,k \in \mathbb{Z}} \right\}\)
C.\(x \in \left\{ { - \frac{\pi }{6} + k2\pi ;\frac{{5\pi }}{{18}} + \frac{{k2\pi }}{3},k \in \mathbb{Z}} \right\}\)
D.\(x \in \left\{ {\frac{\pi }{6} + k2\pi ;\frac{{5\pi }}{{18}} + k2\pi ,k \in \mathbb{Z}} \right\}\)

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