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combine like terms.
$2x^2 + 7 + 6x - 1 - 7x - 6x^2 + 1$
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: \(-4x^2 - x + 7\)
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\(-4x^2 - x + 7\)