1. The problem is to solve for $x$ in the equation $3.9x - 8 = -7$. 2. Start by adding 8 to both sides to isolate the term with $x$: $$3.9x - 8 + 8 = -7 + 8$$ which simplifies to $$3.9x = 1$$. 3. Next, divide both sides by 3.9 to solve for $x$: $$x = \frac{1}{3.9}$$. 4. Calculate the division: $$x \approx 0.2564$$. 5. Therefore, the solution is $x \approx 0.256$ (rounded to three decimal places).