R. Shimon says: The intent of the verse is only to prescribe separate precincts for the eating of holy of holies and lower-order offerings.
"and the offering of your hands": What does Scripture come to teach us? If (that it is forbidden) to eat bikkurim (first-fruits) outside the wall (of Jerusalem)? This can be derived a fortiori, from ma'aser (the tithe), viz.: If ma'aser, which is permitted to non-priests — if one transgresses a negative commandment if he eats of it outside the wall (of Jerusalem), then bikkurim, which are forbidden to non-priests, if one eats of them outside the wall, how much more so does he transgress a negative commandment if he eats of them outside the wall! The purpose of the verse, then, must be to teach us that if one eats bikkurim before the invocation has been recited over them (viz. Ibid. 26:5), he transgresses a negative commandment.