I´ve also ordered outside danish borders several times, both hardware and books... Inside EU you only pay VAT ONCE. It´s a part of EU´s taxation rules, so it´s not only including VAT. A guy from i.e. Italy could work in Denmark for a year, and then go back to Italy, and pay the income tax there.
But remember: When ordering outside Denmark, the distributors take very high shipment prices. Be sure to take notice of this in your comparing of prices!!