The expression \((a + b)(x)\) represents the product of two terms: \((a + b)\) and \(x\). To simplify this expression, you can distribute \(x\) to both \(a\) and \(b\):

\[
(a + b)(x) = ax + bx
\]

So, the simplified expression is:

\[
ax + bx
\]

Would you like any further details or explanations?

Here are some related questions:
1. How would you factor a similar expression, \(ax + bx\)?
2. What is the result of \((a - b)(x)\)?
3. How do you expand \((a + b)(x + y)\)?
4. Can this distributive property be applied to more complex expressions?
5. What if \(a\) and \(b\) were specific numbers? How would the expression change?

**Tip:** The distributive property allows you to break down expressions into simpler parts, making it easier to solve or simplify equations.

Learn how to simplify the expression (a + b)(x) using the distributive property of multiplication over addition. This page provides a detailed explanation and step-by-step solution, covering key algebraic concepts. Suitable for Grades 7-9.

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