4x Consider the sequence of steps to solve the equation: $$ 2(x-4)+6 x=9 x-10 $$ Given $$ \Rightarrow 2(x-4)+6 x=9 x-10 $$ Step $$ 1 \Rightarrow 2 x-8+6 x=9 x-10 $$ Step $$ 2 \Rightarrow 2 x+6 x-8=9 x-10 $$ Step $$ 3 \Rightarrow 8 x-8=9 x-10 $$ Step $$ 4 \Rightarrow 8 x-8 x-8=9 x-8 x-10 $$ Step $$ 5 \Rightarrow 0-8=x-10 $$ Step $$ 6 \Rightarrow-8=x-10 $$ Step $$ 7 \Rightarrow-8+10=x-10+10 $$ Step $$ 8 \Rightarrow 2=x+0 $$ Step $$ 9 \Rightarrow 2=x $$ Which step in solving this equation is justified by the Distributive Property? A Step $$ 1 \Rightarrow 2 x-8+6 x=9 x-10 $$ A $$ x $$ Step $$ 2 \Rightarrow 2 x+6 x-8=9 x-10 $$ B $$ x $$ Step $$ 3 \Rightarrow 8 x-8=9 x-10 $$

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The **Distributive Property** allows you to multiply a single term by each term inside a parenthesis. It is expressed as:

$$ a(b + c) = ab + ac $$

Let's analyze the steps:

- **Initial Equation:** $$ 2(x-4)+6x=9x-10 $$

- **Step 1:** $$ 2(x-4)+6x=9x-10 $$  
  **Step 1 Applied:** $$ 2x - 8 + 6x = 9x - 10 $$  
  **Justification:** Here, the Distributive Property is applied to $$ 2(x-4) $$ resulting in $$ 2x - 8 $$.

- **Step 2:** $$ 2x + 6x - 8 = 9x - 10 $$  
  **Justification:** This step involves combining like terms, not the Distributive Property.

- **Step 3:** $$ 8x - 8 = 9x - 10 $$  
  **Justification:** This is a simplification step by combining like terms again.

**Conclusion:** The Distributive Property is specifically used in **Step 1** when expanding $$ 2(x-4) $$.

**Answer:**  
**A** Step $$ 1 \Rightarrow 2\,x - 8 + 6\,x = 9\,x - 10 $$
**Step 1** uses the Distributive Property.

4x Consider the sequence of steps to solve the equation:
Given
Step
Step
Step
Step
Step
Step
Step
Step
Step
Which step in solving this equation is justified by the Distributive Property?
A Step
A Step
B Step

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4x Consider the sequence of steps to solve the equation: Given Step Step Step Step Step Step Step Step Step Which step in solving this equation is justified by the Distributive Property? A Step A Step B Step