This is a complex mathematical equation involving nested fractions and powers of $x$ and $10$. I'll carefully analyze and simplify this step by step. Here's how we can tackle the equation:

1. Left-Hand Side (LHS):
   The numerator is $12$, while the denominator is
   $120 \times 10^6 + 12 + 120x$
   all divided by
   $10^6 + x + 10^7x + 10x^2.$

2. Right-Hand Side (RHS):
   The numerator of RHS is:
   $\frac{12x}{x + 0.1},$
   and the entire fraction is divided by
   $\frac{12}{0.1 + \frac{10^6x}{10^6 + x}}.$

Would you like me to:

1. Expand and simplify the entire expression?
2. Solve for $x$?
3. Provide a specific step-by-step explanation of a particular section of the equation?

Let me know how you'd like me to proceed! 😊