Welcome to EF! If this is part of your homework, I hope you'll give the other sentences a go before asking us for the right answer. Since clause equivalents - as I call them - can be tricky, I'll do this one for you: Not being able to speak French, my mother couldn't communicate with the local people.
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AnonymousNot being able to speak French, my mother couldn't communicate with local people.Here is my take:
or Not being able to speak French, she couldn't communicate with local people. (the meaning is a bit vague)