Final answer:
To use the distributive property to simplify the expression 6 + 4(3x - 2) + 5, we first distribute the 4 into the parentheses, then combine like terms, resulting in the simplified expression 12x + 3.
Step-by-step explanation:
The question asks which answer correctly uses the distributive property to simplify the expression 6 + 4(3x - 2) + 5. The distributive property involves the multiplication of a number by each term within the parentheses followed by addition or subtraction of the results.
First, we apply the distributive property:
- Multiply 4 by 3x to get 12x.
- Multiply 4 by -2 to get -8.
The expression now looks like this: 6 + 12x - 8 + 5.
Next, combine like terms:
- Add the constants 6, -8, and 5 to get 3.
The simplified expression is 12x + 3.
To summarize, by using the distributive property and combining like terms, we simplified the original expression.