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It is a redox (oxidation-reduction) reaction. and sodium is higher on the reduction series, so it wants to be solid more. the reaction will be:

Li(s)+NaCl(aq) ---> Na(s)+LiCl(aq)

It could also be written as an ionic equation:

Li(s)+Na+(aq)+Li-(aq) ---> Na(s)+Li+(aq)+Cl-(aq)

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