What is the result of simplifying the expression 10 - 2(3x - 1)?

To simplify the expression 10 - 2(3x - 1), we start by applying the distributive property. This property tells us to multiply each term inside the parentheses by the coefficient outside the parentheses.

1. Start with the inner expression, which is (3x - 1). We multiply this entire expression by -2: -3x + 2.

2. Now, substitute this back into the original expression: 10 - (6x - 2).

3. Next, simplify further. Combine the constant terms: 10 + 2 = 12.

4. Thus, the expression becomes: 12 - 6x.

This simplified form matches the first choice, confirming that understanding the distributive property, as well as proper combining of like terms, is key to simplifying expressions effectively.