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To solve for \( x \) from the Venn diagram and the given information, we'll follow these steps:

### 1. Understanding the structure of the Venn Diagram:
- The diagram represents the distribution of people with blood types involving three antigens/antibodies: A, B, and Rh.
- Each section of the Venn diagram corresponds to a specific combination of these blood antigens or their absence.
- We are given the values for different regions of the diagram:
  - \( 10x \): People who have only antigen A.
  - \( 2x \): People who have only antigen B.
  - \( 20x \): People who have only Rh.
  - \( 40 \): People who have both A and B but not Rh.
  - \( x \): People who have A and Rh but not B.
  - \( 6 \): People who have A, B, and Rh.
  - \( 31 \): People who have only Rh.
  - \( 6.5 \): People who have none of the antigens.

### 2. Sum of the percentages:
Since the total population is represented by the Venn diagram, the sum of all percentages in the diagram should equal 100%.

The regions of the diagram contain the following values:
\[
10x + x + 40 + 6 + 2x + 20x + 31 + 6.5 = 100
\]

### 3. Simplify the equation:
Combine the terms involving \( x \):
\[
(10x + x + 2x + 20x) + 40 + 6 + 31 + 6.5 = 100
\]
\[
33x + 83.5 = 100
\]

### 4. Solve for \( x \):
Subtract 83.5 from both sides:
\[
33x = 100 - 83.5
\]
\[
33x = 16.5
\]
\[
x = \frac{16.5}{33} = 0.5
\]

### Therefore, \( x = 0.5 \).

Would you like to proceed to the second part, determining the percentage of people in each blood type, or do you have any further questions on this step?

### Five related questions:
1. What is the significance of antigens A, B, and Rh in blood typing?
2. How does a Venn diagram help in solving percentage distribution problems?
3. What would change if the total population percentage was something other than 100%?
4. Can this method be applied to other biological distribution problems, such as genetic traits?
5. How are blood types classified based on the presence of antigens A, B, and Rh?

### Tip:
In problems involving Venn diagrams, carefully identify overlapping regions to correctly assign combinations of attributes, such as antigens in this case.

Calculate the value of x and determine the percentage of people of each blood type based on the Venn diagram showing antigens A, B, and Rh.

This problem uses a Venn diagram to determine the value of x and calculate the percentages of people with various combinations of antigens A, B, and Rh in their blood. Learn how to sum percentages and solve for unknown variables using algebra.

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