1) 4(x - 1) = 6(x + 2) = 8(x - 3)

Let's simplify the expressions:
4x - 4 = 6x + 12
-10 = 2x
x = -5

6x + 12 = 8x - 24
-36 = 2x
x = -18

Therefore, the solutions are x = -5 and x = -18.

2) 3(x + 1) = 7(x - 3) = 10(x + 2) - 38

Let's simplify the expressions:
3x + 3 = 7x - 21
-4x = -24
x = 6

7x - 21 = 10x + 20 - 38
7x - 21 = 10x - 18
-3x = 3
x = -1

Therefore, the solutions are x = 6, and x = -1.