A method for dry-cleaning garments or fabrics in carbon dioxide comprises contacting a garment or fabric article to be cleaned with a liquid dry cleaning composition for a time sufficient to clean the article, said liquid dry-cleaning composition comprising a mixture of carbon dioxide, water, a first surfactant, and a second surfactant, and then separating the article from the liquid dry cleaning composition. The first surfactant comprises a CO
-philic group covalently joined to a hydrophilic group; and the second surfactant comprising a CO
-philic group covalently joined to a lipophilic group. In the alternative, a single surfactant containing all three of a CO
-philic group, a lipophilic group, and a hydrophilic group covalently joined to one another may also be employed. Systems useful for carrying out the foregoing are also disclosed.