We know $\(x<0\)$; we need to compare $\(|x|\)$ with $\(-x\)$

Since $\(x<0\)$, let $\(x=-a\)$, where ' $\(a\)$ ' is any positive real number.

So, we get column A quantity $\(=|\mathrm{x}|=|-\mathrm{a}|=\mathrm{a}\)$ \& column B quantity $\(-\mathrm{x}=-(-\mathrm{a})=\mathrm{a}\)$

Hence column A quantity equals column B quantity, so the answer is (C).