\frac{dx_{1}}{dt} = -1 \cdot k_{1} \cdot \left(k_{2} \cdot x_{1} \cdot x_{2} - k_{3} \cdot x_{7}\right) / k_{1}\\
\frac{dx_{2}}{dt} = \left(-1 \cdot k_{1} \cdot \left(k_{2} \cdot x_{1} \cdot x_{2} - k_{3} \cdot x_{7}\right) + 1 \cdot k_{1} \cdot k_{4} + -1 \cdot k_{1} \cdot k_{5} \cdot x_{2}\right) / k_{1}\\
\frac{dx_{3}}{dt} = \left(1 \cdot k_{1} \cdot k_{6} \cdot x_{5} \cdot x_{4} + -1 \cdot k_{1} \cdot k_{7} \cdot x_{7} \cdot x_{3}\right) / k_{1}\\
\frac{dx_{4}}{dt} = \left(-1 \cdot k_{1} \cdot k_{6} \cdot x_{5} \cdot x_{4} + 1 \cdot k_{1} \cdot k_{7} \cdot x_{7} \cdot x_{3}\right) / k_{1}\\
\frac{dx_{5}}{dt} = \left(-1 \cdot k_{1} \cdot k_{6} \cdot x_{5} \cdot x_{4} + 1 \cdot k_{1} \cdot k_{9} \cdot x_{6}\right) / k_{1}\\
\frac{dx_{6}}{dt} = \left(1 \cdot k_{1} \cdot k_{7} \cdot x_{7} \cdot x_{3} + -1 \cdot k_{1} \cdot k_{9} \cdot x_{6}\right) / k_{1}\\
\frac{dx_{7}}{dt} = \left(1 \cdot k_{1} \cdot \left(k_{2} \cdot x_{1} \cdot x_{2} - k_{3} \cdot x_{7}\right) + -1 \cdot k_{1} \cdot k_{8} \cdot x_{7}\right) / k_{1}