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1.
Egotistical; selfish
Do not be self-centred and sinful.
by Hercolena Oliver January 26, 2009
 
2.
Someone who can only think about themselves or thinks that they are the most awesome person on the planet.

Often goes along with selfish.
Self-Centred Guy looks in mirror "Oh my god, I look soooooooo handsome."
by huntsman2421 July 01, 2013