**Answer:**

Part A) x = -3

Part B) x = 1, x = -7

Part C) x < -7

Part D) 2

**Step-by-step explanation:**

<h3>Part A)</h3>

2(x - 3) = 3x - 3

<em>open the parenthesis</em>

2 * x - 2 * 3 = 3x - 3

2x - 6 = 3x - 3

<em>subtract 2x from both sides</em>

2x - 2x - 6 = 3x - 2x - 3

-6 = x - 3

<em>add 3 to both sides</em>

-6 + 3 = x

**-3 = x**

<h3>

**Part B)**</h3>

|2x + 6| = 8

<em>split this into two equations:</em>

<em>2x + 6 = 8</em>

<em>&</em>

<em>2x + 6 = -8</em>

2x + 6 = 8

2x = 8-6

2x = 2

**x = 1**

2x + 6 = -8

2x = -8 - 6

2x = -14

**x = -7**

<h3>Part C)</h3>

-5(x + 1) > 30

<em>open the parenthesis</em>

-5x - 5 > 30

<em>add 5 to both sides</em>

-5x > 35

<em>divide both sides by -5</em>

x > -7

<em>since you divided by a negative, flip the sign.</em>

**x < -7**

<h3>

**Part D)**</h3>

f(x) = 4x - 3

<em>substitute x for 5</em>

5 = 4x - 3

5 + 3 = 4x

8 = 4x

**2 = x**

Turn 7/10 into decimal. (0.7)

Keep adding by 0.7 until you get the number closest to 4.1

3.5 is the closest, if we add another 0.7, we get 4.2.

So, he can get 5 sections of 0.7m

The answer is A because the x is on the other side of the equation

12:9 reduced is 4:3 and if you divide 4:3 it also reduces to 1 1/3

**Answer:**

last answer choice

**Step-by-step explanation:**