A simple sentence consists of a single independent clause, which contains a subject and a predicate. Among the options provided:
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"Holly loved to dance, but Kenzie liked to sing." - This is a compound sentence because it contains two independent clauses connected by the conjunction "but."
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"Mitchell sprinted quickly." - This is a simple sentence with one independent clause.
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"In her free time, Harper likes to play outside." - This is also a simple sentence with one independent clause, although it starts with a prepositional phrase.
Both "Mitchell sprinted quickly." and "In her free time, Harper likes to play outside." are simple sentences. However, since you are asking for a simple sentence and "Mitchell sprinted quickly." is the most straightforward option without additional phrases, it is the best choice.