In the expression \( 2x - 6 + 5x + 3 \), like terms are terms that have the same variable raised to the same power.
Let's analyze the options:
A. \( 2x \) and \( -6 \) - Not like terms (one is a variable term and the other is a constant).
B. \( -6 \) and \( 3 \) - Like terms (both are constant terms).
C. \( 2x \) and \( 5x \) - Like terms (both are variable terms with the same variable \( x \)).
D. \( 3x \) and \( 3 \) - Not like terms (the first term is not present in the original expression).
So the pairs of like terms are:
- B. -6 and 3
- C. 2x and 5x