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The total cost of the two large cheese pizzas is $10 x 2 = $<<10*2=20>>20.
Therefore, the total cost of the food is $20 + $18.99 + $5.59 = $<<20+18.99+5.59=44.58>>44.58.
Since there are five friends, each person owes $44.58 / 5 = $<<44.58/5=8.92>>8.92. Answer: \boxed{8.92}.