In the expression \(3x - 4 + x + 7\), we can identify like terms based on their variables.
The terms are:
- \(3x\)
- \(-4\)
- \(x\)
- \(7\)
Now, let's examine the options:
A. \(x\) and \(-7\): Not like terms (one is a variable term, the other is a constant). B. \(3x\) and \(x\): Like terms (both are variable terms involving \(x\)). C. \(-4\) and \(7\): Like terms (both are constant terms). D. \(3x\) and \(-4\): Not like terms (one is a variable term, the other is a constant).
The pairs of like terms are:
- B. \(3x\) and \(x\)
- C. \(-4\) and \(7\)
So the correct answers are B and C.