Step 1: Write down the given reactions and their respective enthalpy values:
\[2Al(s) + \frac{3}{2}O_2(g) \rightarrow Al_2O_3(s) \quad \Delta H = -1670 \, kJ/mol\]
\[2Fe(s) + \frac{3}{2}O_2(g) \rightarrow 7Fe_2O_3(s) \quad \Delta H = -822 \, kJ/mol\]
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