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Thanks for your quick response!

I think I did not clearly present the problem.

Please take a look at this picture. It is a photo montage. It shows what the result should look like. You can see that equality signs are aligned AND the domains are aligned.

Unfortunately, your suggestion does not ...

Dear community,

there are several equations with domains. Some of these equations include cases.

Do you know any way that allows a consistent horizontal alignment of the domains?

The environment cases inside align results in that domains are not aligned at the same position.

Example

\begin ...