You can get a long way cheating the system if you deal with cash only, as banks etc. are required to report everything about everyone to the government, but these days it can only take you so far.
My understand is that the US is much more depending on self-reporting.
But given that the US has its own industry involving tax reporting, and having lived there myself, I don't believe you when you say it's "simple." ;)
Taxable income = Total income - Standard deduction
Look up tax due in a table.
Subtract taxes already witheld, pay (or refund) the difference.
In most states you also have to file, but this is normally just transcribing a few totals from your federal filing and then computing the state tax due, normally just a simple percentage multiple.
But also, taxes can get complicated, I'm just suggesting that for many people, with typical incomes and employment, they are not.
When I was in middle school (1970s) we learned how to file a tax return. For some reason this is no longer taught today.
We have the same problem in Norway; youngsters aren't taught proper private economy at school, just the "normal maths." Which leads to people getting into financial trouble because of stupid stuff. :/
Thanks for updating me on the US tax system! Hope all is well over there! :)