Just out of interest,
The 767 has outboard and inboard ailerons. At higher airspeeds the outboard ailerons are locked out to reduce airframe stresses. This leaves just the inboard ailerons for small levels of roll control (If more roll control is required at higher airspeeds then the spoilers also come in to play at a certain control wheel displacement).
As stated above we would normally trim the a/c so that the ailerons were neutral. If this were not done then since the inboard ailerons are small and do not have a large lever arm (ie they are close in to the fuselage) then a significant displacement is required to correct small imbalances. A small amount of rudder trim allow them to return to neutral.
TC