Here's what rhymes with inext.
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nest necked best effect met rest test meant west chest net arrest checked guest lest elect erect invest melt sect guessed jest knelt sensed wrecked pest vest zest decked fenced inept infect inject wrest against get left set went yet cent direct felt kept let sent correct event affect breast debt helped belt bent blessed commenced dealt detect dressed impressed indirect intent pressed reject rent wet assessed bet connect crest incorrect jet lent quest tent inspect invent leaped pet scent theft unrest vent wept attest fetched leapt tempt behest blest caressed deft dent detest enmeshed pent smelt unchecked vet weft wrenched except respect attempt expect perfect spent addressed possessed request select threat collect depressed descent intellect neglect slept stepped stressed swept assent cement confessed exempt oppressed sweat ascent beset cleft condensed crept dissent dwelt entrenched lament repent sketched abreast adept augment bequest clenched digest dispensed dreamt drenched ferment intersect obsessed quenched resent beget bereft deflect divest duet fret shipwrecked spelt undressed subject extent percent accept expressed prevent suggest consent forget protect reflect contempt manifest stretched suspect accent cigarette compressed dialect northwest offset professed suppressed upset distressed repressed southwest bayonet cassette intercept reset acquiesced cadet disconnect orient pipette redirect regret architect progressed recollect underwent epithet refreshed dispossessed preset silhouette transept discontent alphabet outstretched parapet circumspect circumvent clarinet disrespect quartet represent president retrospect