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I have reviewed the images. The linear equation presented is:

\[
7x - 35 = 5(x + 7)
\]

Let's solve it step by step:

1. Expand the right-hand side:  
   \[
   7x - 35 = 5x + 35
   \]
   
2. Subtract \(5x\) from both sides:  
   \[
   7x - 5x - 35 = 35
   \]
   Simplifying this gives:  
   \[
   2x - 35 = 35
   \]

3. Add 35 to both sides:  
   \[
   2x = 70
   \]

4. Divide by 2:  
   \[
   x = 35
   \]

Thus, the solution set is \( x = 35 \). The correct answer to the multiple-choice question is:

**A. The solution set is** \( \{35\} \).

Do you need further details or have any questions?

Here are 5 related questions to further explore:

1. What is a linear equation and how is it generally solved?
2. How do you handle equations involving distribution like this one?
3. Can a linear equation have more than one solution?
4. How can we verify that our solution to a linear equation is correct?
5. What happens when both sides of a linear equation are identical after simplification?

**Tip:** Always check your final solution by plugging it back into the original equation to ensure accuracy.

Solve the linear equation 7x - 35 = 5(x + 7)

Learn how to solve the linear equation 7x - 35 = 5(x + 7) with a step-by-step solution. This example covers important algebraic concepts, including expanding, combining like terms, and solving for x. Suitable for students in Grades 7-9.

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