Calculate the standard enthalpy change of the following reaction:
\[ \text{CH}_4{}_{\text{(g)}} + 2\text{O}_2{}_{\text{(g)}} \rightarrow \text{CO}_2{}_{\text{(g)}} + 2\text{H}_2\text{O}_{\text{(l)}} \]
If:
\[ \Delta_f H^\circ (\text{CH}_4) = -75 \, \text{kJ mol}^{-1} \] \[ \Delta_f H^\circ (\text{CO}_2) = -394 \, \text{kJ mol}^{-1} \] \[ \Delta_f H^\circ (\text{H}_2\text{O}) = -286 \, \text{kJ mol}^{-1} \]