Answer
$-264.3\,kJ/mol$
Work Step by Step
Recall that
$\Delta_{r}H_{solution}=-lattice\, energy+ \Delta_{r}H(cation\, hydration) +\Delta_{r}H(anion\, hydration)$
$\implies -63.3\,kJ/mol=-(-759\,kJ/mol)+(-558\,kJ/mol)+\Delta_{r}H(I^{-}\, hydration)$
$\implies \Delta_{r}H(I^{-}\, hydration)=-63.3\,kJ/mol-759\,kJ/mol+558\,kJ/mol$
$=-264.3\,kJ/mol$