. If solid sodium hydroxide were added to neutralize the HCl would this reverse the reaction and cause the sodium chloride to redissolve?

NaOH + HCl ==> NaCl + H2O
The NaCl does dissolve in water to become Na^+ ions and Cl^- ions, but the reaction does not form NaOH and HCl to any appreciable extent because the ionization of H2O to H+ and OH- is so small (10^-14).