The correct option is <em>Your complex brain thinks and controls your breathing at the same time</em>
Explanation:
Compound verbs refer to subjects that have two or more verbs within a sentence. Which means that, even though every subject in a sentence in English needs to have at least one verb, it does not mean that such subject can only have one verb.
In the particular case of the sentence "Your complex brain thinks and controls your breathing at the same time", Your complex brain represents the subject, and thinks/controls represent the compound verbs.
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