Final answer:
To find the sum of (10x-2) and (-6x-9) in simplest terms, combine like terms separately for the x terms and the constant terms. The x terms add up to 4x and the constant terms add up to -11, resulting in the expression 4x-11.
Step-by-step explanation:
To find the sum of (10x-2) and (-6x-9) in simplest terms, we combine like terms. Combine the x terms and the constant terms separately. For the x terms, we have 10x and -6x, which add up to 4x. For the constant terms, we have -2 and -9, which add up to -11. Therefore, the sum of (10x-2) and (-6x-9) is 4x-11.