For load shifts (but not load additions or removals) use the following.
MS = ms
Where
M is the total mass (big M = big mass)
m is the mass moved (little m = little mass)
S is the distance that the CG shifted (Big S = big mass shift)
s is the distance that the mass is moved (little s = little mass shift)
In this case we have
M = 5500 lbs
m = 150 lbs
s = +70
MS = ms
Rearranging this gives
CG Shift = S = (ms) / M = (150 x 70) / 5500 = +1.909
Adding this to the original CG gives + 22 + 1.909 = 23.909