Simplify -1/(2(1/(2x)))

$- \frac{1}{2 (\frac{1}{2 x})}$

Combine $2$ and $\frac{1}{2 x}$ .

$- \frac{1}{\frac{2}{2 x}}$

Reduce the expression $\frac{2}{2 x}$ by cancelling the common factors.

Cancel the common factor.

$- \frac{1}{\frac{2}{2 x}}$

Rewrite the expression.

$- \frac{1}{\frac{1}{x}}$

Multiply the numerator by the reciprocal of the denominator.

$- (1 x)$

Multiply $x$ by $1$ .

$- x$