Answer: To expand and simplify the expression 2(3x + 4) - 3(x - 2), we can follow the distributive property and combine like terms. Let's go through the steps:
1. Apply the distributive property to both terms inside the parentheses:
2 * 3x + 2 * 4 - 3 * x + 3 * 2
2. Simplify each term:
6x + 8 - 3x + 6
3. Combine like terms:
(6x - 3x) + (8 + 6)
3x + 14
Therefore, the expanded and simplified form of the expression 2(3x + 4) - 3(x - 2) is 3x + 14.
