The expression you provided is:

\[
x + (Y - X)
\]

Simplifying it step by step:

1. The parentheses indicate that you should first evaluate \( Y - X \).
2. After that, you add \( x \) to the result.

\[
x + (Y - X) = x + Y - X
\]

This is the simplified expression: \( x + Y - X \).

Let me know if you'd like further details or have any questions.

Here are 5 related questions to deepen your understanding:
1. What happens if you substitute specific values for \( x \), \( Y \), and \( X \)?
2. How would this expression change if you added more variables inside the parentheses?
3. How can you apply this type of simplification to solve an equation?
4. What is the difference between simplifying and factoring an expression?
5. Can you express this in terms of a number line or geometric interpretation?

**Tip:** Always simplify expressions inside parentheses first before combining like terms!

Explore the step-by-step process of simplifying the algebraic expression x + (Y - X). This problem highlights key algebraic concepts, focusing on combining like terms. Ideal for students in Grades 6-8.

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