Final answer:
The sum of the linear expressions (4x-2) + (2x-2) is 6x - 4, found by adding the like terms 4x and 2x, and -2 and -2, respectively.
Step-by-step explanation:
To add the linear expressions (4x-2) + (2x-2), you combine like terms. Like terms are terms that contain the same variables raised to the same power. Here, 4x and 2x are like terms, and -2 and -2 are like terms as well. We add the coefficients of like terms together:
- 4x + 2x = 6x
- -2 + (-2) = -4
Therefore, combining both results, the sum of the linear expressions is 6x - 4.
This process adheres to the commutative property of addition (A + B = B + A), which is true not just for linear expressions, but also for ordinary numbers.