1. **State the problem:** Solve for $x$ in the equation $$\frac{x}{-6} = 6.$$\n\n2. **Formula and rule:** To isolate $x$, multiply both sides of the equation by $-6$ (the denominator) to cancel the fraction.\n\n3. **Intermediate step:** Multiply both sides by $-6$:\n$$x = 6 \times (-6)$$\n\n4. **Simplify:**\n$$x = -36$$\n\n5. **Explanation:** Multiplying both sides by $-6$ cancels the denominator on the left side, leaving $x$ alone. On the right side, $6$ times $-6$ equals $-36$.\n\n**Final answer:** $$x = -36$$