I do the bathtub washdown thing for aphids and spider mites. I'll leave the plant in the bathtub for 2 days, and do a soap/neem wash in the morning, and then wash it with water several times throughout the day. This will knock down the aphid population considerably, but won't kill them off completely. What works best for the aphids is when the asian beetles on the window get hungry. They take care of aphids fast. The spider mites are basically uncontrollable. The bathtub trick only slows them down.