The given equations are:
|x| = 5
|x + 1| = 2
|x + 3| = 0
|x - 2| = -1

Solving each equation one by one:

|x| = 5
x = 5 or x = -5

|x + 1| = 2
x + 1 = 2 or x + 1 = -2
x = 1 or x = -3

|x + 3| = 0
This equation has no real solutions as the absolute value of a number is always greater than or equal to 0.

|x - 2| = -1
This equation has no real solutions as the absolute value of a number is always greater than or equal to 0.

Therefore, the solutions to the given equations are:
x = 1, -3, 5, -5.