To simplify, we can factor out the absolute value symbols in each of the equations:

1) |x - 2| = 1
2) |3 - x| = 2

Now, we can solve each equation separately:

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

So, the solutions to equation 1) are x = 3 and x = 1.

2) |3 - x| = 2
3 - x = 2 or 3 - x = -2
-x = -1 or -x = -5
x = 1 or x = 5

So, the solutions to equation 2) are x = 1 and x = 5.