Simplify 6/(-6/x)

$\frac{6}{- \frac{6}{x}}$

Multiply the numerator by the reciprocal of the denominator.

$6 (- \frac{x}{6})$

Cancel the common factor of $6$ .

Move the leading negative in $- \frac{x}{6}$ into the numerator.

$6 \frac{- x}{6}$

Cancel the common factor.

$6 \frac{- x}{6}$

Rewrite the expression.

$- x$