11 bearings per side should be correct.

The reason nobody takes the fixed cup out is because its a F*****'in B******** and a C*^$& **#^@$!!

seriosuly though unless you are replacing the cup or painting the frame there's really no need to take it out, just clean it in place.

If you really are a glutton for punishment though and dont want the special Tool, you can use a bench vise. Clamp the vise on the raised section in the middle of the fixed cup. Tightly. Very Tightly. Then rotate the entire frame. The increased moment arm (your frame) will give you the leverage you'll need to get that sucker loose. Just be sure you're turining the correct direction