The equation in the image is:

$\frac{x}{7} = -6$

To solve for $x$, follow these steps:

1. Multiply both sides of the equation by 7 to isolate $x$:

$x = -6 \times 7$

2. Simplify the right side:

$x = -42$

So, the solution is $x = -42$.

Would you like further details or explanations? Here are some related questions:

1. How would the solution change if the right-hand side was a positive number?
2. What is the general approach to solving equations of the form $\frac{x}{a} = b$?
3. Can this equation be graphed on a coordinate plane? If so, what would the graph look like?
4. How can you check the solution to ensure it's correct?
5. How would the solution differ if the fraction had a different denominator?

Tip: When solving equations involving fractions, always start by eliminating the fraction to simplify the equation.