Complex sentence: The idea of vilayet originated from the Seljuk vassal state ("Uç Beyliği") in central Anatolia, the Empire over the years became an amalgamation of pre-existing polities, the Anatolian beyliks, brought under the sway of the ruling House of Osman.
Split into simpler sentences: The idea of vilayet originated from the Seljuk vassal state ("Uç Beyliği") in central Anatolia. Over the years the Empire became an amalgamation of pre-existing polities, the Anatolian beyliks, brought under the sway of the ruling House of Osman.