Task 1. Solve the equation $2|x+2| \cos x=x+2$.

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Answer. $-2 ; \frac{2 \pi}{3}+2 \pi n, n=-1,-2, \ldots ;-\frac{2 \pi}{3}+2 \pi n, n=0,-1,-2, \ldots ; \pm \frac{\pi}{3}+2 \pi n, n=$ $0,1,2, \ldots$