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question combine like terms. $2x^2 + 7 + 6x - 1 - 7x - 6x^2 + 1$

Question

question
combine like terms.
$2x^2 + 7 + 6x - 1 - 7x - 6x^2 + 1$

Explanation:

Step1: Group like terms

Group the \(x^2\) terms, \(x\) terms, and constant terms together: \((2x^2 - 6x^2)+(6x - 7x)+(7 - 1 + 1)\)

Step2: Combine \(x^2\) terms

For the \(x^2\) terms: \(2x^2 - 6x^2 = (2 - 6)x^2 = -4x^2\)

Step3: Combine \(x\) terms

For the \(x\) terms: \(6x - 7x = (6 - 7)x = -x\)

Step4: Combine constant terms

For the constant terms: \(7 - 1 + 1 = 7\)

Step5: Combine all results

Putting it all together: \(-4x^2 - x + 7\)

Answer:

\(-4x^2 - x + 7\)