Math Problem Statement

Fully simplify the expression 2x + 6y + 7x + 4 - 6y.

Solution

To simplify the expression 2x+6y+7x+46y2x + 6y + 7x + 4 - 6y, let's combine like terms.

  1. Combine the xx-terms: 2x+7x=9x2x + 7x = 9x

  2. Combine the yy-terms: 6y6y=06y - 6y = 0

  3. Lastly, the constant term remains as it is: +4+ 4

Putting it all together: 9x+49x + 4

So, the simplified expression is: 9x+49x + 4

Would you like more details, or do you have any questions?

Here are some related questions for further exploration:

  1. How do you simplify expressions with more variables, like 2x+6y+7z+46y2x + 6y + 7z + 4 - 6y?
  2. How do you handle expressions with exponents when simplifying?
  3. What are some common mistakes to watch for when simplifying expressions?
  4. How can you verify that an expression is fully simplified?
  5. How does simplification change when there are parentheses involved in the expression?

Tip: Always start by grouping like terms, such as terms with the same variable or constants, to simplify expressions efficiently.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Combining Like Terms

Formulas

None (basic arithmetic operations)

Theorems

None (no specific theorems involved)

Suitable Grade Level

Grade 6-8