Questions: Evaluate. --x if x=19 The answer is .

Transcript text: Evaluate. \[ -|-x| \text { if } x=19 \] The answer is $\square$.

Solution

To evaluate the expression $-|-x|$ when $x = 19$, we need to follow these steps:

Step 1: Calculate the Absolute Value

First, we calculate the absolute value of $x$. Given $x = 19$, we have: \[ |x| = |19| = 19 \]

Step 2: Negate the Absolute Value

Next, we negate the absolute value obtained in Step 1: \[ -|x| = -19 \]

Step 3: Negate the Result from Step 2

Finally, we negate the result from Step 2: \[ -(-|x|) = -(-19) = 19 \]

$\boxed{-19}$

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