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If $g(x)=-3+\left|x\right|$, then for which of the following values of $x$ does $g(-x)=g(x)$ ?

A

$\text{All real numbers}$

B

$\text{3 only}$

C

$\text{-3 only}$

D

$\text{All real except -3}$

E

$\text{All real except -3 and 3}$

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