Fly to Cairo from the furthest point in the world for about $1000 roundtrip, if you shop around.
A passable double room in Cairo will cost $30 and way up, while in the tourist cities of Alexandria, Luxor, and Aswan a decent double can be had for $30.
If you explore the western oases, stay at the Bedouin Camp five kilometers north of El Dakhla/Mut, which offers nice doubles for $10.
Egyptian merchants double their prices for tourists.
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