CaCO$₃$(s) $\rightleftharpoons$ CaO(s) + CO$₂$(g), \( K_{p1} = 8 \times 10^{-2} \)
C(s) + CO$₂$(g) $\rightleftharpoons$ 2CO(g), \( K_{p2} = 2 \)
If the partial pressure of CO at equilibrium is \( x \times 10^{-1} \) atm, then find the value of \( x \).