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This is not a simple answer but nevertheless a complete one according to the Bronsted-Lowry acid / base theory.

Acid in water:

H3O+ ions from the acid (as proton donor to a water molecule) and the conjugated base anion (negative) as the left over part of the original acid molecule.

Example: HCl + H2O --> H3O+ + Cl-

Base in water:

Most bases are negative anions from basic salts.

You'll find in solution (some) OH- ions (together with (base)- ions) and the accompanying metal ion (together with some conjugated acid).

Example of acetate base:

NaF + H2O --> Na+ + F- + OH- + HF

Example of an exception, ammonia: NH3(g) + H2O --> NH4+ + OH-

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