Final answer:
To simplify the expression (14x - 2) - (11x-21), distribute the negative sign and combine like terms, resulting in 3x + 19.
Step-by-step explanation:
To simplify the expression (14x - 2) - (11x-21), we need to distribute the negative sign to the terms inside the second parentheses.
So we have: (14x - 2) - (11x-21) = 14x - 2 - 11x + 21.
Next, we can combine like terms by adding or subtracting the coefficients in front of the x.
Thus, the simplified expression is: 14x - 11x - 2 + 21 = 3x + 19.