This is a nonrandomized, multi-site, open-label trial to evaluate a novel two-drug combination regimen (uprifosbuvir [MK-3682] 450 mg + ruzasvir [RZR; MK-8408] 180 mg once daily [q.d.] for 12 weeks) in male and female treatment-naïve (TN) or treatment-experienced (TE) participants with chronic hepatitis C virus (HCV) infection genotype (GT) GT1, GT2, GT3, GT4, GT5, or GT6 who have not previously received HCV direct-acting antiviral (DAA) therapy. Cirrhotic (C) and non-cirrhotic (NC) participants with and without human immunodeficiency virus (HIV) co-infection will be enrolled.