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Back at the bakery, there has been a disaster. A contingent of crazy criminal clowns arrived and stole a bunch of the pies, taking some with them to eat, throwing others at each other's (and customers'!) faces, and smearing pie filling on the glass of the cases before leaving. While a counter clerk cleans the cases, the bakers rush to the market to get more ingredients and frantically bake more pies. The result is seven apple-containing pies, eight strawberry-containing pies, five rhubarb-containing pies, three pies containing both apple and strawberry, four pies containing both strawberry and rhubarb, and one apple-strawberry-rhubarb pie that is bought seconds after it comes out of the oven. (Later it was noticed that this last pie was also the one pie containing both apple and rhubarb.) How many total pies did the bakers bake?

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