Questions: Simplify the following expression. -7 x^2 - 8 + 6 x + 11 x^2 - 9 x

Simplify the following expression. -7 x^2 - 8 + 6 x + 11 x^2 - 9 x
Transcript text: Simplify the following expression. \[ -7 x^{2}-8+6 x+11 x^{2}-9 x \]
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Solution

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Solution Steps

Step 1: Combine like terms involving \( x^2 \)

Combine the terms \( -7x^2 \) and \( 11x^2 \): \[ -7x^2 + 11x^2 = 4x^2 \]

Step 2: Combine like terms involving \( x \)

Combine the terms \( 6x \) and \( -9x \): \[ 6x - 9x = -3x \]

Step 3: Combine the constant terms

Combine the constant terms \( -8 \): \[ -8 \]

Step 4: Write the simplified expression

Combine the results from Steps 1, 2, and 3: \[ 4x^2 - 3x - 8 \]

Final Answer

\(\boxed{4x^2 - 3x - 8}\)

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