https://file.aiquickdraw.com/mathbot/file/1726761167641uzgwvxam.jpg

Let's solve the equation provided in the image:

\[
10(x - 7) = -40
\]

### Steps:
1. **Distribute** the 10 on the left-hand side:
   \[
   10(x - 7) = 10x - 70
   \]
   So the equation becomes:
   \[
   10x - 70 = -40
   \]

2. **Add 70** to both sides to isolate the term with \(x\):
   \[
   10x = -40 + 70
   \]
   Simplifying the right side:
   \[
   10x = 30
   \]

3. **Divide** both sides by 10 to solve for \(x\):
   \[
   x = \frac{30}{10} = 3
   \]

So the solution is:
\[
x = 3
\]

Would you like any further details on the steps? Here are 5 related questions to consider:

1. How do you solve equations with multiple variables?
2. What happens when the variable term is on both sides of the equation?
3. Can you solve equations involving fractions in a similar way?
4. What are the properties of equality used in solving linear equations?
5. How do you handle equations where you need to factor expressions?

**Tip:** Always double-check your work by substituting the solution back into the original equation.

Learn how to solve the linear equation 10(x - 7) = -40 with a clear and detailed step-by-step solution. This problem is suitable for students in Grades 7-9, covering essential algebraic concepts like linear equations and the properties of equality.

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