I see the multi-step equations worksheet in the uploaded image. Let me solve the equations one by one. I'll show you step-by-step solutions.

1. $5(-2x - 7) + 2x = -91$

Step 1: Distribute $5$: $-10x - 35 + 2x = -91$

Step 2: Combine like terms: $-8x - 35 = -91$

Step 3: Add 35 to both sides: $-8x = -56$

Step 4: Divide by $-8$: $x = 7$

2. $x + 3(1 + 5x) = 115$

Step 1: Distribute $3$: $x + 3 + 15x = 115$

Step 2: Combine like terms: $16x + 3 = 115$

Step 3: Subtract 3 from both sides: $16x = 112$

Step 4: Divide by $16$: $x = 7$

3. $-2x + 5 = 3 - 3x$

Step 1: Add $3x$ to both sides: $x + 5 = 3$

Step 2: Subtract 5 from both sides: $x = -2$

4. $5x - 7 = 3x + 5$

Step 1: Subtract $3x$ from both sides: $2x - 7 = 5$

Step 2: Add 7 to both sides: $2x = 12$

Step 3: Divide by $2$: $x = 6$

5. $5(6x - 3) = 10 + 5x$

Step 1: Distribute $5$: $30x - 15 = 10 + 5x$

Step 2: Subtract $5x$ from both sides: $25x - 15 = 10$

Step 3: Add 15 to both sides: $25x = 25$

Step 4: Divide by $25$: $x = 1$

6. $6x - 3 = 3(x - 4)$

Step 1: Distribute $3$: $6x - 3 = 3x - 12$

Step 2: Subtract $3x$ from both sides: $3x - 3 = -12$

Step 3: Add 3 to both sides: $3x = -9$

Step 4: Divide by $3$: $x = -3$

7. $2(x - 10) = 2(4x - 2) + 2x$

Step 1: Distribute $2$: $2x - 20 = 8x - 4 + 2x$

Step 2: Combine like terms on the right: $2x - 20 = 10x - 4$

Step 3: Subtract $2x$ from both sides: $-20 = 8x - 4$

Step 4: Add 4 to both sides: $-16 = 8x$

Step 5: Divide by $8$: $x = -2$

Let me know if you'd like me to clarify any steps or further explain!
Here are 5 follow-up questions for you to explore:

1. How can we check our solution for each equation?
2. What happens if there are no solutions to an equation?
3. What if an equation simplifies to an identity like $0 = 0$?
4. Can you create a multi-step equation with a fraction?
5. Why is combining like terms an essential step in solving equations?

Tip: Always double-check by substituting your solution back into the original equation!