To solve these equations, we need to isolate the variable (x) on one side of the equation.

1) 4x + 7 = -28 - x
Add x to both sides of the equation:
4x + x + 7 = -28
5x + 7 = -28
Subtract 7 from both sides:
5x = -35
Divide by 5 on both sides:
x = -7

2) 2(3 - 4x) - 5 = 6 - 7(x + 8)
Distribute 2 on the left side and 7 on the right side:
6 - 8x - 5 = 6 - 7x - 56
-8x + 1 = -50 - 7x
Add 8x to both sides:
1 = -50 + x
Add 50 to both sides:
x = 51

Therefore, the solutions are:
x = -7 and x = 51.