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The problem is asking to find the value of \( x \) in a number pyramid, where each brick is the sum of the two bricks directly below it. Here’s how we can set up the equations based on the given pyramid structure:

We have:

- Top brick: 35
- Middle bricks: Unknown values
- Bottom bricks: \( 2x \), \( x \), and \( 3x \)

According to the rule of the pyramid:

1. The two middle bricks must sum to give 35. These middle bricks are the sums of the bottom pairs:
   - The left middle brick is the sum of \( 2x \) and \( x \), so it equals \( 2x + x = 3x \).
   - The right middle brick is the sum of \( x \) and \( 3x \), so it equals \( x + 3x = 4x \).

2. The top brick is the sum of the two middle bricks:
   \[
   3x + 4x = 35
   \]
   Simplifying:
   \[
   7x = 35
   \]
   Solving for \( x \):
   \[
   x = \frac{35}{7} = 5
   \]

Thus, the value of \( x \) is \( \boxed{5} \).

Would you like any more details or explanations on this solution?

Here are 5 related questions you can explore:
1. What would the bottom numbers be if \( x = 7 \)?
2. How do number pyramids help in understanding algebraic relationships?
3. Can you build a larger number pyramid with a similar rule and solve it?
4. How does the concept of solving simultaneous equations relate to this problem?
5. How can we generalize this pyramid approach for different shapes?

**Tip:** Always double-check if you need to distribute or simplify equations before solving for the variable.

In this number pyramid, each brick is the sum of the two bricks below it. Find the value of x.

In this example, we explore how to find the value of x in a number pyramid, where each brick is the sum of the two bricks below it. Using algebraic expressions, solve for x with step-by-step guidance. Ideal for students in Grades 5-7.

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