The expression provided in the image is:

$5(1 + x)$

To simplify this expression, apply the distributive property, which states that:

$a(b + c) = ab + ac$

In this case, distribute the 5 across both terms inside the parentheses:

$5(1) + 5(x) = 5 + 5x$

So, the simplified expression is:

$5 + 5x$

Would you like more details on how this was done or do you have any questions?

Here are five related questions:

1. How can the distributive property be applied to more complex expressions?
2. What happens if there are negative terms inside the parentheses?
3. How would you factor the expression $5 + 5x$ back into its original form?
4. Can the distributive property be used in reverse to factor expressions?
5. What are some real-life applications of simplifying expressions?

Tip: When distributing, always multiply each term inside the parentheses by the term outside to avoid mistakes.