You've bought your weekly egg supply at the local farm store. The first morning you have company for breakfast and use half the eggs plus one-half an egg. The next morning you use one-half of what's left plus one-half an egg. The third morning you use one-half of what's left plus one-half an egg, and on the fourth morning, you're down to one solitary egg, so you make French toast. In all this cooking, you've never had one-half an egg to carry over to the next day. How many eggs did you buy originally?
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