1. **State the problem:** Solve the equation $-0.2x = 1.6$ for $x$. 2. **Formula and rules:** To solve for $x$, we need to isolate $x$ by dividing both sides of the equation by the coefficient of $x$, which is $-0.2$. 3. **Intermediate work:** $$ -0.2x = 1.6 $$ Divide both sides by $-0.2$: $$ x = \frac{1.6}{-0.2} $$ Simplify the fraction: $$ x = -8 $$ 4. **Explanation:** Dividing by a negative number changes the sign of the result. Since $1.6$ divided by $0.2$ is $8$, dividing by $-0.2$ gives $-8$. **Final answer:** $x = -8$