To simplify the expression, we need to consider the different cases for the absolute value terms.

Case 1: x < 2022
If x < 2022, then both absolute value terms will be negative. So, A = -(x-2022) - (x-2023)
A = -x + 2022 - x + 2023
A = -2x + 4045

Case 2: 2022 ≤ x < 2023
If 2022 ≤ x < 2023, then the first absolute value term will be positive and the second will be negative. So, A = (x-2022) - (x-2023)
A = x - 2022 - x + 2023
A = 1

Case 3: x ≥ 2023
If x ≥ 2023, then both absolute value terms will be positive. So, A = (x-2022) + (x-2023)
A = x - 2022 + x - 2023
A = 2x - 4025

Therefore, the simplified expression for A is:
A =
-2x + 4045, if x < 2022
1, if 2022 ≤ x < 2023
2x - 4025, if x ≥ 2023