The balanced chemical equation for the reaction between sodium hydroxide (NaOH) and hydrochloric acid (HCl) to produce table salt (NaCl) and water (H₂O) is:
\[ \text{NaOH} + \text{HCl} \rightarrow \text{NaCl} + \text{H}_2\text{O} \]
This equation is already balanced, as there is one sodium (Na), one chlorine (Cl), one hydrogen (H), and one oxygen (O) on both sides of the equation.