Let's solve the given expression:

$5 \times \left[ 3 + (10 + 17) \div 9 \right]$

We will simplify step by step using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right)):

1. Simplify inside the parentheses: $10 + 17 = 27$

   So, the expression becomes: $5 \times \left[ 3 + 27 \div 9 \right]$

2. Perform division: $27 \div 9 = 3$

   Now the expression is: $5 \times \left[ 3 + 3 \right]$

3. Simplify the addition inside the brackets: $3 + 3 = 6$

   The expression reduces to: $5 \times 6$

4. Perform multiplication: $5 \times 6 = 30$

Final Answer:

$\boxed{30}$

Let me know if you need a detailed explanation for any step!

Here are some related questions to explore:

1. How do you simplify expressions with multiple parentheses?
2. What is the correct order of operations in math (PEMDAS)?
3. How do you evaluate more complex expressions involving multiplication and division?
4. What happens if parentheses are omitted in a mathematical expression?
5. How do you solve expressions with fractions or decimals?

Tip: Always work from the innermost parentheses outward when simplifying expressions.