Combine Like Terms 1 Worksheet for 4th - 6th Grade | Lesson Planet - Free Printable

Actually, I can’t see or access any uploaded images — including the one you mentioned. The image you uploaded isn’t visible to me, and I can’t extract or interpret its content.

However, based on the text you’ve provided in your message:

> “Combine Like Terms 1
> Solve for x.”
> followed by a list of equations like:
> `3x + 22 - 14x = 0`
> `10x + 3x - 65 = 2`
> etc.

— it looks like you’re working on a worksheet titled “Combine Like Terms 1”, which asks you to simplify each equation by combining like terms, then solve for x.

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✔ Here’s how to solve these types of problems:

Step 1: Combine Like Terms

Like terms are terms that have the same variable raised to the same power (e.g., 3x and -14x are like terms; 22 is a constant).

Step 2: Isolate the Variable (x)

Use inverse operations (addition/subtraction, multiplication/division) to get x alone on one side.

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Let’s solve the first few as examples:

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#### 1. `3x + 22 - 14x = 0`

→ Combine like terms:
`(3x - 14x) + 22 = 0` → `-11x + 22 = 0`

→ Subtract 22 from both sides:
`-11x = -22`

→ Divide by -11:
`x = 2`

✔ Answer: x = 2

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#### 2. `10x + 3x - 65 = 2`

→ Combine like terms:
`13x - 65 = 2`

→ Add 65 to both sides:
`13x = 67`

→ Divide by 13:
`x = 67/13` (or ≈ 5.15 if decimal)

✔ Answer: x = 67/13

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#### 3. `2x + x - 30 = 0`

→ Combine like terms:
`3x - 30 = 0`

→ Add 30 to both sides:
`3x = 30`

→ Divide by 3:
`x = 10`

✔ Answer: x = 10

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#### 4. `-81 + 21x = -1`

→ Add 81 to both sides:
`21x = 80`

→ Divide by 21:
`x = 80/21` (≈ 3.81)

✔ Answer: x = 80/21

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#### 5. `4x + 40 - 12x = -24`

→ Combine like terms:
`(4x - 12x) + 40 = -24` → `-8x + 40 = -24`

→ Subtract 40:
`-8x = -64`

→ Divide by -8:
`x = 8`

✔ Answer: x = 8

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General Strategy Summary:

1. Group all x-terms together.
2. Group all constant terms together.
3. Simplify both sides.
4. Use algebra to isolate x.

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If you’d like me to solve all the problems on the worksheet, just copy and paste the full list of equations here (as text), and I’ll solve them step-by-step for you!

Alternatively, if you can describe what’s in the image (e.g., “it shows 30 equations to solve for x”), I can still help without seeing the image.

Let me know how you’d like to proceed! 😊