Hello Kalamajka Welcome to this Forum. The choice between "doing" and "to do" is really messy. Some verbs take only "doing" and some only "to do" and still some verbs can take both.
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Paco2004My tries were as below but I too feel both forms may be OK.
11. Don't bother to do the dishes. [negation]
[google check] don't bother to do 16,600 / don't bother doing 24,900
12. He hasn't even bothered to write. [negation]
[google check] hasn't bothered to write 528 / hasn't bothered writing 68
13. She walked out of the room without bot