Damn, I though from the title that this was going to be some sort of exciting exercise!
No, X capacitors don't automatically include discharge resistors. The need depends where the capacitor is wired in the circuit - if it is wired directly across the motor (after the mains switch) then it can be a standard X2. If it is before the switch and directly across the mains plug then, yes it does. The aim here is not to give the user a shock across the pins of the plug.
If necessary, you can just wire a 1M resistor across the capacitor pins. Just check that the element limiting voltage is high enough in the datasheet.