https://file.aiquickdraw.com/mathbot/file/1726429668433j7vt6xe3.jpg

The equation in the image is:

\[
|5x| + 5 = 45
\]

### Steps to solve:

1. **Isolate the absolute value**: 
   Subtract 5 from both sides:
   \[
   |5x| = 45 - 5
   \]
   \[
   |5x| = 40
   \]

2. **Solve the absolute value equation**: 
   This gives two possible cases because of the absolute value:
   - Case 1: \( 5x = 40 \)
   - Case 2: \( 5x = -40 \)

3. **Solve each case**:
   - For \( 5x = 40 \):
     \[
     x = \frac{40}{5} = 8
     \]
   - For \( 5x = -40 \):
     \[
     x = \frac{-40}{5} = -8
     \]

### Final Answer:
\[
x = 8 \quad \text{or} \quad x = -8
\]

Let me know if you want more details or have any questions!

Here are some related questions to practice:
1. What is the general approach for solving absolute value equations?
2. How do you solve \( |3x + 7| = 15 \)?
3. What happens if the right-hand side of an absolute value equation is negative?
4. How can absolute value functions be represented graphically?
5. How would the equation change if it were \( |5x + 2| + 5 = 45 \)?

**Tip**: Always check for extraneous solutions when solving absolute value equations.

Learn how to solve the absolute value equation |5x| + 5 = 45 with a step-by-step explanation. This example demonstrates how to isolate the absolute value and solve for two possible solutions, suitable for students in Grades 6-8.

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