Question

a. $4x = -28$
$x = $
b. $x - -6 = -2$
$x = $
c. $-x + 4 = -9$
$x = $
d. $-3x + 7 = 1$
$x = $

Explanation:

Part a

Step1: Isolate x by dividing by 4

$\frac{4x}{4} = \frac{-28}{4}$

Step2: Simplify to solve for x

$x = -7$

Part b

Step1: Simplify double negative

$x + 6 = -2$

Step2: Subtract 6 from both sides

$x = -2 - 6$

Step3: Calculate the result

$x = -8$

Part c

Step1: Subtract 4 from both sides

$-x = -9 - 4$

Step2: Simplify right-hand side

$-x = -13$

Step3: Multiply by -1 to solve x

$x = 13$

Part d

Step1: Subtract 7 from both sides

$-3x = 1 - 7$

Step2: Simplify right-hand side

$-3x = -6$

Step3: Divide by -3 to isolate x

$\frac{-3x}{-3} = \frac{-6}{-3}$

Step4: Simplify to solve for x

$x = 2$

Answer:

a. $x = -7$
b. $x = -8$
c. $x = 13$
d. $x = 2$