$"Lewis acids and bases"$ ACCEPT, and DONATE electron density, conceived to be in the form of a pair of electrons.
$AlCl_3(aq) + Cl^(-) rarr AlCl_4^-$
In terms of the definition, which is the Lewis acid, and which is the Lewis base in the given reaction. Of course, $AlCl_4^-$ is a Lewis acid-base adduct.
We can draw on another example:
$NMe_3 + BMe_3 rarr Me_3N^(+)-""^(-)BMe_3$
Which is the Lewis-acid, and which is the base?