# Chapter 9 - Quadratic Functions and Equations - 9-1 Quadratic Graphs and Their Properties - Standardized Test Prep - Page 540: 55

F, -12

#### Work Step by Step

In order to solve for x in the equation 2(x+3)+7=-11 we will first apply the distributive property (states that a(b+c)=ab+ac) to the left side of the equation, by setting a=2, b=x, and c=3. Therefore, 2(x+3)+7=-11 2x+6+7=-11 2x+13=-11 Now, to isolate x, we'll subtract 13 from both sides of the equation. 2x+13-13=-11-13 2x=-24 Now, to solve for x, we'll divide by 2 on both sides of the equation. $\frac{2x}{2}$=$\frac{-24}{2}$ x=-12

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