Question of the Past

I just remembered a question I had thought up a long time ago to ask my old Science Teacher but never did. Maybe you guys can answer me.

"If I took one of the most acidic substances Hydrochloric Acid and combined it with one of the most basic Sodium Hydroxide, would I be able to safely ingest the result? HCl+NaOH->NaCl+H2O seems to say "yes" the end result would be harmless salt water, but is this formula correct?

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