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It appears that you've uploaded an image showing a mathematical problem. Let me analyze the content and extract the necessary information.

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**The equation provided is:**
\[
\frac{x}{5} - \frac{3}{20} = \frac{7}{2}
\]

**The next part asks to choose the correct conclusion based on the solution method:**
1. **Option A**: The equation yields a solution \( x = \Box \) (with a box for the solution).
2. **Option B**: There is no solution.

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Let's solve the equation step by step.

### Solve:
\[
\frac{x}{5} - \frac{3}{20} = \frac{7}{2}
\]

#### Step 1: Eliminate the fractions by finding a common denominator.
The least common denominator (LCD) between 5, 20, and 2 is 20.

- Multiply the whole equation by 20:
\[
20 \cdot \left( \frac{x}{5} \right) - 20 \cdot \left( \frac{3}{20} \right) = 20 \cdot \left( \frac{7}{2} \right)
\]

This simplifies to:
\[
4x - 3 = 70
\]

#### Step 2: Solve for \( x \).
Add 3 to both sides:
\[
4x = 73
\]

Divide by 4:
\[
x = \frac{73}{4}
\]

### Conclusion:
The solution to the equation is \( x = \frac{73}{4} \).

Thus, the correct conclusion is **Option A**, with \( x = \frac{73}{4} \) (or 18.25 in decimal form).

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Would you like more details on any of the steps?

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Here are 5 related questions to further explore the topic:
1. How can you check if a solution is correct in a linear equation?
2. What is the general strategy for solving equations with fractions?
3. How do you find the least common denominator for multiple fractions?
4. How can you rewrite improper fractions as mixed numbers?
5. What types of equations typically have no solution?

**Tip:** When dealing with fractions in equations, multiplying through by the least common denominator is an effective way to clear the fractions and simplify the problem.

Solve the equation: \(\frac{x}{5} - \frac{3}{20} = \frac{7}{2}\)

Learn how to solve the linear equation \(\frac{x}{5} - \frac{3}{20} = \frac{7}{2}\) by eliminating fractions and simplifying the equation. This problem covers key algebraic concepts and is suitable for students in Grades 6-8.

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