Question

6 given: $3x + 1 = -14$; prove: $x = -5$

statements	reasons

Explanation:

Step1: Start with the given equation

$3x + 1 = -14$ (Given)

Step2: Subtract 1 from both sides

$3x + 1 - 1 = -14 - 1$ (Subtraction Property of Equality)
Simplify to get $3x = -15$

Step3: Divide both sides by 3

$\frac{3x}{3} = \frac{-15}{3}$ (Division Property of Equality)
Simplify to get $x = -5$

Now, filling the table:

Statements	Reasons
$3x + 1 - 1 = -14 - 1$	Subtraction Property of Equality
$3x = -15$	Simplification
$\frac{3x}{3} = \frac{-15}{3}$	Division Property of Equality
$x = -5$	Simplification

Answer:

The table is filled as shown above, proving that when $3x + 1 = -14$, $x = -5$.