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Alexander was awarded the generalship of Greece and used this authority to launch his father's Panhellenic project to lead the Greeks in the conquest of Persia.
In 334 BC, he invaded the Achaemenid Empire (Persian Empire) and began a series of campaigns that lasted ten years.
Alexander died in Babylon in 323 BC, the city that he planned to establish as his capital, without executing a series of planned campaigns that would have begun with an invasion of Arabia.
At that point, his empire stretched from the Adriatic Sea to the Indus River.