Let's solve the expression:

$7 - 5 \times (-3)$

Following the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):

1. First, perform the multiplication: $5 \times (-3) = -15$

2. Now, subtract: $7 - (-15) = 7 + 15 = 22$

So, the result is:

$\boxed{22}$

Would you like further explanation or have any questions? Here are five related questions to deepen your understanding:

1. How would the result change if the multiplication was positive instead of negative?
2. What is the order of operations, and why is it important?
3. Can you solve $7 - 5 \times 3$ without parentheses?
4. How does multiplication with negative numbers affect an expression?
5. What happens if we have multiple operations with different signs?

Tip: Always handle multiplication before addition or subtraction in an expression!