To identify the pairs of like terms in the expression \(2x - 6 + 5x + 3\), we should first clarify what like terms are. Like terms have the same variable raised to the same power.
Now, let's break down the expression:
- The terms are \(2x\), \(-6\), \(5x\), and \(3\).
- \(2x\) and \(5x\) are like terms because they both contain the variable \(x\).
- \(-6\) and \(3\) are constant terms but are not considered like terms with \(x\).
Now we can analyze the options:
A. \(2x\) and \(-6\) - NOT a pair of like terms, different types B. \(-6\) and \(3\) - NOT a pair of like terms, both constants but not related C. \(2x\) and \(5x\) - YES, a pair of like terms D. \(3x\) and \(3\) - NOT a pair of like terms, \(3x\) is not in the original expression
Thus, the only pair of like terms is:
C. \(2x\) and \(5x\).
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