Affixing rhymes with:
fixing, fixing, intermixing, mixing, annexing, boxing, coaxing, faxing, fixing, flexing, indexing, intermixing, mixing, outfoxing, perplexing, relaxing, taxing, vexing, waxing, xeroxing
Affixing sounds like:
abkhazians, absence, absences, abusing, afghani's, afghanis, afghans, afsane's, appeasing