Simplify: 4(3x - 2) =

To simplify the expression (4(3x - 2)), you apply the distributive property. This involves multiplying each term inside the parentheses by 4.

First, distribute the 4 to the first term, which is (3x):

[ 4 \times 3x = 12x ]

Next, distribute the 4 to the second term, which is (-2):

[ 4 \times (-2) = -8 ]

Putting it all together, you combine the results:

[ 12x - 8 ]

Thus, the simplified expression is (12x - 8), which matches the correct answer choice. Understanding the distributive property is crucial here, as it forms the foundation of simplifying such expressions accurately.