2AlBr₃ + 3Cl₂ → 2AlCl₃ + 3Br₂

is a single displacement reaction.

Here's why:

* Single Displacement: In this type of reaction, a more reactive element displaces a less reactive element from its compound.

* In this reaction: Chlorine (Cl₂) is more reactive than Bromine (Br₂). The chlorine atoms displace the bromine atoms from aluminum bromide (AlBr₃), forming aluminum chloride (AlCl₃) and releasing bromine gas (Br₂).

Let me know if you have any other chemical reactions you'd like to classify!