Which algebraic expression simplifies to 2?
3x + 1 - 3(x - 2) + 5
3x + 1 - 3(x + 2) + 7
-(2x + 2) + 2(x + 1)
-(2x + 2) + -2(x + 1)
To find the expression that simplifies to 2, we need to evaluate each expression and see which one equals 2.
Option 1: 3x + 1 - 3(x - 2) + 5
Let's simplify this expression:
3x + 1 - 3(x - 2) + 5 = 3x + 1 - 3x + 6 + 5
Combining like terms, we get:
1 + 6 + 5 = 12
This expression does not simplify to 2.
Option 2: 3x + 1 - 3(x + 2) + 7
Let's simplify this expression:
3x + 1 - 3(x + 2) + 7 = 3x + 1 - 3x - 6 + 7
Combining like terms, we get:
1 - 6 + 7 = 2
This expression simplifies to 2.
Option 3: -(2x + 2) + 2(x + 1)
Let's simplify this expression:
-(2x + 2) + 2(x + 1) = -2x - 2 + 2x + 2
Combining like terms, we get:
-2 + 2 = 0
This expression does not simplify to 2.
Option 4: -(2x + 2) + -2(x + 1)
Let's simplify this expression:
-(2x + 2) + -2(x + 1) = -2x - 2 - 2x - 2
Combining like terms, we get:
-2x - 2x - 2 - 2 = -4x - 4
This expression does not simplify to 2.
Therefore, the algebraic expression that simplifies to 2 is: 3x + 1 - 3(x + 2) + 7.