Please reason step by step, and put your final answer within \boxed{}.
At a restaurant, there are three types of adult meals: vegetarian, chicken, and steak. A vegetarian meal costs $5, a chicken meal costs $7, and a steak meal costs $10. Kids can choose between a hot dog meal or a grilled cheese meal for $3 each. In addition, there is a 10% tax and an expected 15% tip. If a group of 12 people came in and consisted of 3 vegetarians, 4 chicken lovers, and 2 steak enthusiasts, while 3 kids chose hot dog meals, how much would it cost for the group to eat, including tax and tip?
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