Use the Distributive Property to solve the equation. \[ \begin{array}{l}-2(x+6)=4 \\ \text { Apply the Distributive Property and simplify. } \\ -2(x+6)=4 \\ -2 x+(\square)=4\end{array} \]

To solve the equation using the Distributive Property, we will follow these steps: 1. **Apply the Distributive Property**: This means we will multiply \(-2\) by both \(x\) and \(6\) in the expression \(-2(x + 6)\). 2. **Simplify the expression**: After applying the Distributive Property, we will simplify the equation. Let's start with the equation: \[ -2(x + 6) = 4 \] ### Step 1: Apply the Distributive Property Using the Distributive Property, we have: \[ -2(x) + (-2)(6) = -2x - 12 \] So, we can rewrite the equation as: \[ -2x - 12 = 4 \] ### Step 2: Simplify the equation Now, we have: \[ -2x - 12 = 4 \] Next, we can isolate \(x\) by adding \(12\) to both sides: \[ -2x - 12 + 12 = 4 + 12 \] This simplifies to: \[ -2x = 16 \] Now, divide both sides by \(-2\): \[ x = \frac{16}{-2} = -8 \] ### Final Answer The solution to the equation is: \[ x = -8 \]