Select all pairs of like terms in the expression 3x−4+x+7

In the expression \(3x - 4 + x + 7\), the like terms are those that have the same variable part.

Let's identify the like terms:

1. Terms with \(x\): \(3x\) and \(x\)
2. Constant terms: \(-4\) and \(7\)

Now, let's look at the pairs provided in your options:

1. −4 and 7: These are like terms (constant terms).
2. x and −7: This pair is incorrect; there is no \(-7\) in the expression.
3. 3x and −4: This pair is incorrect; these terms have different variable parts.
4. 3x and x: These are like terms (both contain \(x\)).

So, the valid pairs of like terms are:

• \( −4 \) and \( 7 \)
• \( 3x \) and \( x \)

Correct pairs of like terms in your expression are:

• \(-4\) and \(7\)
• \(3x\) and \(x\)