Identify the compounds $A, X$ and $Z$ in the following reactions : 

$A + 2HCl + 5{H_2}O \to 2NaCl + X$

$X\xrightarrow[{370\,K}]{\Delta }HB{O_2}\xrightarrow[{ > 370\,K}]{\Delta }Z$

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$(i)$ $\mathrm{Na}_{2} \mathrm{~B}_{4} \mathrm{O}_{7}+2 \mathrm{HCl}+5 \mathrm{H}_{2} \mathrm{O} \rightarrow 2 \mathrm{NaCl}+4 \mathrm{H}_{3} \mathrm{BO}_{3}$

$(ii)$ $\mathrm{H}_{3} \mathrm{BO}_{3} \stackrel{\Delta 370 \mathrm{~K}}{\longrightarrow} \mathrm{HBO}_{2}+\mathrm{H}_{2} \mathrm{O}$

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