Our major results consist in comparing x-ray spectra obtained using TDKS simulations to those obtained using LR-TDDFT, with the latter calculations performed within the CVS approximation. Some basic comparisons can be found in Section 4 A, following which we describe the use of dipole filtering to identify and remove continuum artifacts in the TDKS spectra (Section 4 B). Finally, some chemically relevant examples are considered in Section 4 C.