To solve the system of equations:

1) 29x - 11x = 504
Combine like terms:
18x = 504
Divide both sides by 18:
x = 28

2) x + 35x = 2808
Combine like terms:
36x = 2808
Divide both sides by 36:
x = 78

3) 7x + 9x + 32 = 272
Combine like terms:
16x + 32 = 272
Subtract 32 from both sides:
16x = 240
Divide both sides by 16:
x = 15

Therefore, the solutions to the system of equations are:
x = 28, x = 78, and x = 15.