Math Problem Statement

Distribute and simplify -7(x - 9) + x.

Solution

Let's distribute and then simplify the given expression 7(x9)+x-7(x - 9) + x.

First, apply the distributive property: 7×x+7×9+x-7 \times x + 7 \times 9 + x

This simplifies to: 7x+63+x-7x + 63 + x

Now, combine like terms: 7x+x=6x-7x + x = -6x

Therefore, the simplified expression is: 6x+63-6x + 63

If you have any further questions or need more details, feel free to ask! Here are some related questions you might consider:

  1. What would be the result if xx has a specific value, say x=5x = 5?
  2. How would the expression change if the subtraction in the parenthesis was a different operation?
  3. What is the process for factoring an expression like 6x+63-6x + 63?
  4. Can you graph the equation y=6x+63y = -6x + 63 and describe its features?
  5. What happens if the sign of the coefficient outside the parenthesis changes, e.g., 7(x9)+x7(x - 9) + x?

Tip: When simplifying expressions, always double-check your arithmetic operations to avoid simple errors.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Combining Like Terms

Formulas

Distributive property: a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8