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A salt can be formed by several processes. You can synthesize a salt from its constituent elements. The equation for the synthesis of sodium chloride from its elements is 2Na+Cl2-->2NaCl. You can also synthesize salt in an acid/base reaction, which is form of double replacement where your products are almost always water and some kind of salt. Given reactant solutions of sodium hydroxide and hydrochloric acid, the equation is NaOH+HCl-->H2O+NaCl.

Both these processes are chemical changes, because you produce salt, a chemical compound, which you did not have before.

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