Let's simplify the given expression:

\[
(6x^2 + 5x - 7) + (3x^2 - 5x)
\]

Step-by-step simplification:
1. Combine like terms for \(x^2\):
   \[
   6x^2 + 3x^2 = 9x^2
   \]
2. Combine like terms for \(x\):
   \[
   5x - 5x = 0
   \]
3. The constant term is just \(-7\).

So, the simplified expression is:
\[
9x^2 - 7
\]

Would you like more details on this process or have any questions?

Here are 5 related questions to practice:
1. Simplify \((4x^2 + 7x - 3) + (5x^2 - 2x + 4)\).
2. Simplify \((8x^2 - 2x) - (5x^2 + 4x)\).
3. Solve \((6x^2 + 5x - 7) = 0\).
4. Factor \(9x^2 - 7\) if possible.
5. What is the degree of the polynomial \(9x^2 - 7\)?

**Tip:** When combining like terms, always focus on matching powers of \(x\) first, then constants.

Learn how to simplify the polynomial expression (6x² + 5x - 7) + (3x² - 5x) with a detailed step-by-step solution. This problem covers key algebraic concepts such as combining like terms and polynomial simplification. Suitable for students in Grades 7-9.

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