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!

Discover how to solve the arithmetic expression 7 - 5 × (-3) using the order of operations (PEMDAS). This step-by-step solution highlights key concepts such as multiplication with negative numbers and subtraction. Ideal for students in Grades 6-8.

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