Not necessarily "just simple" (ie 2 appliances with 13A fuses sharing one socket) - there could be a high resistance joint between the socket and the extension lead.
If the socket has signs of overheating it will need changing anyway, so you can check the condition of the cables behind it while you're doing that.
Also check the condition of the plug to the extension lead inside and out (the bit of cardboard which manufacturers seem to insist on putting around the pins is supposed to be removed before you use the plug).
Depending on the current requirements of each appliance I would probably have the freezer on one socket and the washer and drier on the other, but only use one at a time.
Adam
January 2010