https://file.aiquickdraw.com/mathbot/file/1726506629550jdutq9vo.jpg

Let's solve each equation step by step:

### 1) \( 7x + 14 = 70 \)

**Step 1**: Subtract 14 from both sides:
\[
7x = 70 - 14
\]
\[
7x = 56
\]

**Step 2**: Divide by 7 to isolate \( x \):
\[
x = \frac{56}{7}
\]
\[
x = 8
\]

### 2) \( \frac{x}{-4} + 10 = 13 \)

**Step 1**: Subtract 10 from both sides:
\[
\frac{x}{-4} = 13 - 10
\]
\[
\frac{x}{-4} = 3
\]

**Step 2**: Multiply both sides by -4:
\[
x = 3 \times (-4)
\]
\[
x = -12
\]

### 3) \( -6x + 5.5 = 20 \)

**Step 1**: Subtract 5.5 from both sides:
\[
-6x = 20 - 5.5
\]
\[
-6x = 14.5
\]

**Step 2**: Divide by -6:
\[
x = \frac{14.5}{-6}
\]
\[
x = -\frac{145}{60} = -\frac{29}{12} \approx -2.42
\]

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Would you like further details or explanations on any step?

Here are some related questions to practice:

1. Solve \( 5x + 3 = 23 \).
2. Solve \( \frac{y}{2} - 7 = 1 \).
3. Solve \( -4x + 2 = 10 \).
4. Solve \( \frac{z}{5} + 6 = 14 \).
5. Solve \( 8x - 3.5 = 28 \).

**Tip**: Always check your solution by plugging the value of the variable back into the original equation to ensure it satisfies the equation.

1) 7x + 14 = 70
2) x/-4 + 10 = 13
3) -6x + 5.5 = 20

Learn how to solve linear equations, including 7x + 14 = 70, x/-4 + 10 = 13, and -6x + 5.5 = 20. This problem covers key algebraic concepts and step-by-step solutions. Suitable for students in Grades 6-8.

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