The equation in the image is:

$-1.2(5x - 2) + 1 = 7.3$

Let's solve for $x$ step by step.

Step 1: Distribute the $-1.2$ over the terms inside the parentheses.

$-1.2(5x - 2) = -1.2 \times 5x + (-1.2 \times -2) = -6x + 2.4$

So, the equation becomes:

$-6x + 2.4 + 1 = 7.3$

Step 2: Combine like terms on the left-hand side.

$-6x + 3.4 = 7.3$

Step 3: Subtract 3.4 from both sides to isolate the term with $x$.

$-6x = 7.3 - 3.4$

$-6x = 3.9$

Step 4: Solve for $x$ by dividing both sides by $-6$.

$x = \frac{3.9}{-6} = -0.65$

So, the solution is:

$x = -0.65$

Would you like more details or have any questions?

Here are 5 related questions:

1. How can you check if the solution $x = -0.65$ is correct?
2. How do you handle distribution of negative numbers in equations?
3. What are common errors made when solving linear equations like this one?
4. How can you solve similar equations with decimals?
5. What changes if a variable appears on both sides of the equation?

Tip: When solving equations, always combine like terms first to simplify the process.