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Identify the property that justifies each step asked about in the answer area below.
Line 1: = 5(4+7x)
Line 2: = 5(7x+4)
Line 3: = 35x+20


Line 1 to Line 2:
Line 2 to Line 3:

Answer 1

To identify the properties that justify the steps between the lines you provided, we can analyze each step:

**Line 1 to Line 2:**
- The property that justifies the transition from Line 1 to Line 2 is the **Commutative Property of Addition**. This property states that the order in which we add numbers does not change the sum. In this case, the expression inside the parentheses moves from \( 4 + 7x \) to \( 7x + 4 \).

**Line 2 to Line 3:**
- The property that justifies the transition from Line 2 to Line 3 is the **Distributive Property**. This property states that \( a(b + c) = ab + ac \). Here, \( 5 \) is distributed to both \( 7x \) and \( 4 \) in Line 2, resulting in \( 35x + 20 \).

So, the properties are:

- **Line 1 to Line 2:** Commutative Property of Addition
- **Line 2 to Line 3:** Distributive Property