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How to wash a rayon shirt 
Check the fabric care tag. 
Some rayon fabrics have been treated, which allows them to be hand-washed. However, untreated, or viscose, rayon should not get wet, so it needs to be dry cleaned.
Check the fabric care tag to see what the garment is made of and what instructions say. If the tag says " dry clean only, " then take the shirt to the cleaners instead of washing it.