Combine the expression: x + 4 - 3x + 2.

• A. -2x + 4
• B. -2x + 6
• C. 2x + 6
• D. 2x - 4

Answer: (B)

To simplify the expression ( x + 4 - 3x + 2 ), begin by rearranging and grouping the like terms together. The like terms in this expression are the terms that contain the variable ( x ) and the constant terms.

First, combine the terms with ( x ):

• You have ( x ) (or ( 1x )) and ( -3x ).

When you add these, you perform ( 1 - 3 = -2 ). So, combining these gives you ( -2x ).

Next, combine the constant terms:

• You have ( 4 ) and ( 2 ).

Adding these gives ( 4 + 2 = 6 ).

Putting it all together, the combined expression becomes:

[

-2x + 6

]

The result, ( -2x + 6 ), correctly represents the simplified form of the initial expression, which matches the correct choice. This demonstrates the process of combining like terms effectively within the context of algebraic expressions.