High desert native bush with white flowers — need ID

These bushes grow in the wash below my property and a few years ago I decided to transplant a few small ones after a monsoon rain. I thought they all died, but the next year I found one or two growing and now I have a whole bunch coming up and currently they are in full bloom.

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One of the original transplants

I’m assuming that they are natives because they grow on this undeveloped lot without any irrigation, but have not seen them anywhere else.

Here are some more pics:

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Lots of small white flowers
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Volunteers in the path

They’re coming up everywhere and I have NO idea whether that’s good or bad.

What are these bushes?

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