The function $$f(x) = 2 \mid x \mid + \mid x + 2 \mid - \mid \mid x + 2 \mid - 2 \mid x \mid \mid$$ has a local minimum or a local maximum at x =

A

$$-2$$

B

$$\frac{-2}{3}$$

C

2

D

$$\frac{2}{3}$$