Let's simplify the expression \( X + x - 3 + 2(x - 3) \).

1. Distribute the 2 across the \( (x - 3) \):
\[
2(x - 3) = 2x - 6
\]
Now the expression becomes:
\[
X + x - 3 + 2x - 6
\]

2. Combine like terms:
\[
X + (x + 2x) - (3 + 6)
\]
This simplifies to:
\[
X + 3x - 9
\]

So, the simplified expression is:
\[
X + 3x - 9
\]

Would you like more details on any part of this? 

Here are some related questions:
1. What happens if you substitute values for \( X \) and \( x \)?
2. How do you solve an equation if this expression equals a constant?
3. What if you had a coefficient in front of \( X \) (e.g., \( 2X \))?
4. Can you graph this expression for specific values of \( X \) and \( x \)?
5. How does this expression change if you substitute \( x \) with \( y \)?

**Tip:** Always combine like terms to simplify an expression step by step, making it easier to solve or analyze.

Learn how to simplify the algebraic expression X + x - 3 + 2(x - 3) step-by-step. This problem covers key concepts such as combining like terms and applying the distributive property. Suitable for students in Grades 6-8.

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