\(\left( {2\cos x - 1} \right)\left( {2\sin x + \cos x} \right) = \sin 2x - \sin x\).
A.\(\left[ \begin{array}{l}x = -\dfrac{\pi }{3} + k2\pi \\x = - \dfrac{\pi }{4} + k\pi \end{array} \right.\,\,\left( {k \in \mathbb{R}} \right)\)
B.\(\left[ \begin{array}{l}x = \dfrac{\pi }{3} + k2\pi \\x = - \dfrac{\pi }{4} + k\pi \end{array} \right.\,\,\left( {k \in \mathbb{R}} \right)\)
C.\(\left[ \begin{array}{l}x = \pm \dfrac{\pi }{3} + k2\pi \\x = \dfrac{\pi }{4} + k\pi \end{array} \right.\,\,\left( {k \in \mathbb{R}} \right)\)
D.\(\left[ \begin{array}{l}x = \pm \dfrac{\pi }{3} + k2\pi \\x = - \dfrac{\pi }{4} + k\pi \end{array} \right.\,\,\left( {k \in \mathbb{R}} \right)\)

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