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: $x = \frac{14.5}{-6}$ $x = -\frac{145}{60} = -\frac{29}{12} \approx -2.42$

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.