https://file.aiquickdraw.com/mathbot/file/1725411620425u79o1jzl.jpg

To continue from where you left off, I'll first identify and analyze the steps you've taken so far from the image. 

1. **Starting Point**:
   \[
   x - \frac{1}{2} = \frac{3}{4} \div \frac{1}{8}
   \]

2. **Step 1**: You've simplified the right-hand side:
   \[
   x - \frac{1}{2} = \frac{3}{4} \times \frac{8}{1}
   \]
   This multiplication leads to:
   \[
   x - \frac{1}{2} = 6
   \]

3. **Step 2**: You added \(\frac{1}{2}\) to both sides:
   \[
   x = 6 + \frac{1}{2}
   \]
   Which simplifies to:
   \[
   x = \frac{12}{2} + \frac{1}{2} = \frac{13}{2}
   \]

So, the value of \(x\) you found is:
\[
x = \frac{13}{2}
\]

If you would like to proceed further with any specific problems or have additional questions, let me know!

Here are five related questions that might interest you:

1. How do you solve linear equations involving fractions?
2. Can you explain the process of multiplying fractions?
3. How do you convert a mixed number into an improper fraction?
4. What are the common methods for solving equations with variables on both sides?
5. How can you check if your solution to a linear equation is correct?

**Tip:** Always check your final answer by substituting it back into the original equation to ensure it satisfies the equation.

Follow along with a step-by-step example of solving a linear equation involving fractions. Learn key algebraic concepts, including the division and multiplication of fractions, addition of fractions, and the application of basic properties of equality in algebra. Suitable for students in Grades 6-8.

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