(a) Given that \(\cos(x - 30^\circ) = 2 \sin(x + 30^\circ)\), show that \(\tan x = \frac{2 - \sqrt{3}}{1 - 2\sqrt{3}}\).

(b) Hence solve the equation \(\cos(x - 30^\circ) = 2 \sin(x + 30^\circ)\) for \(0^\circ < x < 360^\circ\).