Math Problem Statement

Combine like terms: 9x + 7x - 7 - 7x + 6x + 1

Solution

The expression in the image appears to be:

9x+7x77x+6x+19x + 7x - 7 - 7x + 6x + 1

Let's combine the like terms:

  • For the terms involving xx: 9x+7x7x+6x=(9+77+6)x=15x9x + 7x - 7x + 6x = (9 + 7 - 7 + 6)x = 15x
  • For the constants: 7+1=6-7 + 1 = -6

So, the simplified expression is:

15x615x - 6

Would you like any further explanation on how the terms were combined? Here are some related questions that could help:

  1. How do you identify like terms in an algebraic expression?
  2. What is the process of simplifying algebraic expressions?
  3. How would you simplify an expression with more than two variables?
  4. Can you explain the role of coefficients in combining like terms?
  5. How do constants affect the overall simplification?

Tip: Always group the terms with the same variables first when simplifying expressions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Combining Like Terms

Formulas

Summing coefficients of like terms (9x + 7x - 7x + 6x = (9 + 7 - 7 + 6)x)

Theorems

Associative Property of Addition

Suitable Grade Level

Grades 6-8