To get the 2X badge have any 5 beers that are from an Imperial/Double style.

This currently includes the following styles: Brown Ale – Imperial/Double, IPA – Imperial/Double, IPA – Imperial/Double Black, IPA – Imperial/Double Milkshake, IPA – Imperial/Double New England, Pilsner – Imperial/Double, Porter – Imperial/Double, Porter – Imperial/Double Baltic, Porter – Imperial/Double Coffee, Red Ale – Imperial/Double, Stout – Imperial/Double, Stout – Imperial/Double Pastry, Stout – Imperial/Double Coffee, Stout – Imperial/Double White, Stout – Imperial/Double Milk, Stout – Imperial/Double Oatmeal, and Stout – Russian Imperial.