Simplify $B=\sqrt{x^2} - x$

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I have to simplify the following expression:

$B=\sqrt{x^2} - x$

The only thing that I can do is:

$\sqrt{a^2}=|a|$, thus $B=|x|-x$. Is that enough?

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$B=0$ if $x\geq0$ and $B=-2x$ if $x\leq 0$