Re arrange and add the following.                       -2x^-xy-3b-c-7b+5c-2xy-x^-7xy-3c

To rearrange and combine like terms in the expression \(-2x - xy - 3b - c - 7b + 5c - 2xy - x - 7xy - 3c\), follow these steps:

1. **Group like terms**:
   - Terms involving \(x\): \(-2x - x\)
   - Terms involving \(xy\): \(-xy - 2xy - 7xy\)
   - Terms involving \(b\): \(-3b - 7b\)
   - Terms involving \(c\): \(-c + 5c - 3c\)

2. **Combine like terms**:
   - Combine \(x\) terms: \(-2x - x = -3x\)
   - Combine \(xy\) terms: \(-xy - 2xy - 7xy = -10xy\)
   - Combine \(b\) terms: \(-3b - 7b = -10b\)
   - Combine \(c\) terms: \(-c + 5c - 3c = 1c = c\)

3. **Write the simplified expression**:
   \[
   -3x - 10xy - 10b + c
   \]

This is the simplified and rearranged form of the given expression.

Would you like more details or have any questions?

### Related Questions:
1. How do you simplify expressions with multiple variables?
2. What is the difference between combining like terms and factoring?
3. How would you solve an equation derived from this expression?
4. Can this expression be factored further?
5. What are common mistakes to avoid when combining like terms?

**Tip:** Always double-check for like terms before combining to avoid missing any terms or making errors.

Learn how to rearrange and combine like terms in algebraic expressions with this step-by-step guide. This problem covers combining terms involving variables such as x, xy, b, and c. Suitable for Grades 7-9.

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