https://file.aiquickdraw.com/mathbot/file/1729772183435q5c7yuv7.jpg

The equation shown in the image is \( 9 = |3x| \). Let's solve this step by step.

### Step 1: Break down the absolute value equation.
The equation \( 9 = |3x| \) implies two possible equations:
1. \( 3x = 9 \) 
2. \( 3x = -9 \)

### Step 2: Solve both equations.
1. **For \( 3x = 9 \):**
   \[
   x = \frac{9}{3} = 3
   \]
   
2. **For \( 3x = -9 \):**
   \[
   x = \frac{-9}{3} = -3
   \]

### Final Solution:
The solutions are \( x = 3 \) and \( x = -3 \).

Would you like further details or clarification on this? Here are 5 related questions you might find useful:

1. How do you solve absolute value inequalities?
2. Can you explain the concept of absolute value in more depth?
3. How would the equation change if the constant was negative instead of positive?
4. What happens if there's no solution to an absolute value equation?
5. How do you graph solutions of absolute value equations?

**Tip**: When solving absolute value equations, always split the equation into two cases—one where the expression inside the absolute value is positive and one where it's negative.

Learn how to solve the absolute value equation 9 = |3x| with step-by-step instructions. This algebraic problem covers key concepts such as absolute value properties and linear equations. Suitable for students in Grades 7-9.

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