The instant disclosure relates to hair-treatment compositions that include a unique combination of components that function to impart desirable cosmetic properties to the hair, especially chemically treated hair. The hair-treatment compositions typically include: at least 0.5 wt. % of at least one non-polymeric mono, di, or tricarboxylic acid, and/or a salt thereof; one or more amines; one or more alkoxysilanes; one or more cationic polymers; and water. Hair treated with the hair-treatment compositions is strengthened and exhibits improved sensorial properties such as smoothness, softness, and suppleness.