Given the function \( P(x) = x + 3 \), we are asked to find \( P(x) + P(-x) \).

1. First, we evaluate \( P(x) \):
   \[
   P(x) = x + 3
   \]

2. Now, evaluate \( P(-x) \):
   \[
   P(-x) = (-x) + 3 = -x + 3
   \]

3. Next, add \( P(x) \) and \( P(-x) \):
   \[
   P(x) + P(-x) = (x + 3) + (-x + 3)
   \]
   Simplifying the expression:
   \[
   P(x) + P(-x) = x - x + 3 + 3 = 6
   \]

Thus, \( P(x) + P(-x) = 6 \).

Would you like further details or have any questions?

Here are five related questions:
1. What would \( P(x) + P(-x) \) be if \( P(x) = x^2 + 3 \)?
2. How does \( P(x) + P(-x) \) behave for odd and even functions?
3. Can you generalize \( P(x) + P(-x) \) for any linear function?
4. What happens if we subtract \( P(-x) \) from \( P(x) \)?
5. How would the result change if \( P(x) = x^3 + 3 \)?

**Tip:** When adding functions like \( P(x) + P(-x) \), look for symmetry in the function to simplify calculations.

Explore how to evaluate P(x) = x + 3 and find P(x) + P(-x). This problem involves function evaluation, focusing on linear functions and how symmetry simplifies calculations. Suitable for students in Grades 6-8.

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