Byron bakes some cookies. He eats one hot out of the oven and leaves the rest on the counter to cool. He goes outside to read. David comes into the kitchen and finds the cookies. Since he is hungry, he eats half a dozen of them. Then Katelyn wanders by, feeling rather hungry as well, she eats half as many as David did. Makayla and Sophia walk through next, and each of them eats one-third of the remaining cookies. Jordyn comes into the kitchen and eats half of the cookies that are left on the counter. Last of all Max, eat just one cookie. Byron comes back inside, ready to pig out, and there is only one cookie left. How many cookies did Byron bake in all?

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