Cleaning systems employing detergent compositions in combination with builders comprising alkalinity and chelants are provided. The detergent compositions include amine oxide surfactant and alcohol ethoxylate surfactant blends having a mixture of chain lengths and branching provided. The detergent compositions are particularly efficacious for flexible cleaning systems for cosmetic and other soils as they provide the benefit of separate dosing of surfactants in the detergent from alkalinity sources in a builder composition. Methods of using the detergent compositions and/or the cleaning systems are provided.