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Is it before taxes or after?

Salaries/wages in sweden are normally negotiated/discussed as gross (before income taxes but after payroll taxes) per month.

Most likely before taxes, as that is the usual figure used in Sweden.

Is the tax same for everyone or are there are ways to get tax relief?

By and large it is more or less the same across Stockholm, it may vary a few percent depending on what municipality you live in.

You of course get some monetary benefits if you have kids and such.