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The number of solutions of the equation $x + 2 \tan x = \frac{\pi}{2}$ in the interval $[0, 2\pi]$ is:
(1) 3
(2) 4
(3) 2
(4) 5
$\tan x = -\frac{1}{2}x + \frac{\pi}{4}$
By graphical method, plotting $y = \tan x$ and $y = -\frac{1}{2}x + \frac{\pi}{4}$, the number of solutions is 3.
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