To solve the problem, we simplify the given expression $6(3x - 3)$ using the distributive property:

$6(3x - 3) = 6 \cdot 3x - 6 \cdot 3$

Simplify each term:

$6 \cdot 3x = 18x, \quad 6 \cdot 3 = 18$

Thus, the expression becomes:

$18x - 18$

The correct answer is $18x - 18$.

Would you like more explanation on how I used the distributive property?

Five Related Questions:

1. What is the distributive property, and how is it applied in algebra?
2. How do you factor an expression like $18x - 18$ back into a product?
3. What are common errors when using the distributive property?
4. How can expressions with similar terms be simplified further?
5. How do you recognize equivalent expressions?

Tip:

Always double-check your work when applying the distributive property, especially with negative signs or subtraction.