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The given problem is:

Evaluate \( |3x| - 4 \) when \( x = -1 \).

Let's break this down step by step:

1. First, substitute \( x = -1 \) into the expression \( |3x| - 4 \).

   \[
   |3(-1)| - 4 = | -3 | - 4
   \]

2. Now, calculate the absolute value of \( -3 \), which is \( 3 \).

   \[
   3 - 4 = -1
   \]

Thus, the value of \( |3x| - 4 \) when \( x = -1 \) is \( -1 \).

The correct answer is \( \boxed{-1} \).

Do you want more details or have any questions about the process?

Here are 5 related questions for practice:
1. Evaluate \( |5x| - 7 \) when \( x = 2 \).
2. Solve \( |4x + 1| = 9 \) for \( x \).
3. Find the value of \( |2x - 3| - 5 \) when \( x = 3 \).
4. Simplify \( |x^2 - 4| + 2x \) when \( x = -2 \).
5. Solve \( |x - 5| = 12 \).

**Tip:** Remember that the absolute value of a number is always non-negative, so apply it before continuing with other operations in the expression.

Learn how to evaluate the absolute value expression |3x| - 4 when x = -1. This problem covers key algebraic concepts and demonstrates how to work with absolute values in algebra. Suitable for students in Grades 8-10.

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