$$ \begin{array}{l} \text { (x } 2(x+7)+3 x=12 \text { (given) } \ \quad 2 x+14+3 x=12 \text { (?) } \ 5 x+14=12 \text { (simplify) } \ 5 x=-2 \text { (subtraction) } \ x=-\frac{2}{5} \text { (division) } \end{array} $$ What is the missing reason? A Addition B Subtraction C Reflexive Property D Transitive Property E Distributive Property

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The missing step involves expanding the expression $$ 2(x + 7) $$. To go from $$ 2(x + 7) + 3x = 12 $$ to $$ 2x + 14 + 3x = 12 $$, you apply the **Distributive Property**, which states that $$ a(b + c) = ab + ac $$.

**Answer:**  
E Distributive Property
The missing reason is the Distributive Property.

What is the missing reason?

A Addition

B Subtraction

C Reflexive Property

D Transitive Property

E Distributive Property

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