Math Problem Statement

-7x - 12 + x - 9 + 6x

Solution

The expression in the image is:

7x12+x9+6x-7x - 12 + x - 9 + 6x

Let's simplify it step by step.

  1. Combine like terms (terms with xx and constants):
    • For xx-terms: 7x+x+6x=(7+1+6)x=0x-7x + x + 6x = ( -7 + 1 + 6 ) x = 0x
    • For constant terms: 129=21-12 - 9 = -21

Thus, the simplified expression is:

21-21

Let me know if you'd like more details or have questions about this.

Here are five questions related to this:

  1. How do you combine like terms in an algebraic expression?
  2. What are the steps to simplify an expression with variables and constants?
  3. Can an expression simplify to just a constant? Why or why not?
  4. How would this change if the terms had different variables, like yy or zz?
  5. What happens when all variable terms cancel each other out?

Tip: Always group terms with similar variables together before simplifying expressions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Combining Like Terms
Simplification

Formulas

Combining like terms: a * x + b * x = (a + b) * x

Theorems

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Suitable Grade Level

Grade 7-8