The problem from the image states:

"The sum of 3 consecutive integers is -63. Find the integers."

Let's set up an equation for this:

Let the three consecutive integers be:

• $x$ (the first integer),
• $x + 1$ (the second integer), and
• $x + 2$ (the third integer).

The sum of these integers is given as -63: $x + (x + 1) + (x + 2) = -63$

Simplify the equation: $3x + 3 = -63$

Subtract 3 from both sides: $3x = -66$

Now, divide both sides by 3: $x = -22$

So, the three consecutive integers are:

• $x = -22$
• $x + 1 = -21$
• $x + 2 = -20$

Therefore, the integers are -22, -21, and -20.

Would you like further details or clarification on this solution?

Here are 5 related questions for further practice:

1. What is the sum of four consecutive integers that equals 50?
2. The sum of three consecutive odd integers is 45. What are the integers?
3. How can you express the sum of three consecutive even integers?
4. Solve for three consecutive integers whose sum is 72.
5. If the sum of five consecutive integers is -25, what are the integers?

Tip: When solving word problems involving consecutive numbers, always start by representing them algebraically, as in the form $x, x+1, x+2$.