These tiles represent the expression 3x+2(


5x+1).
x
x
x
-x
-x
-x
-x
-x
1
-x
-x
-x
-x
-x
1
Which expression is equivalent to 3x+2(

5x+1)?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To find an equivalent expression for \( 3x + 2(-5x + 1) \), we will distribute \( 2 \) to both terms inside the parentheses.

  1. Distribute \( 2 \) to \(-5x\) and \(1\):

    \[ 2 \cdot (-5x) + 2 \cdot 1 = -10x + 2 \]

  2. Combine the results with the \(3x\):

    \[ 3x + (-10x + 2) = 3x - 10x + 2 \]

  3. Combine like terms:

    \[ (3x - 10x) + 2 = -7x + 2 \]

Thus, the expression equivalent to \( 3x + 2(-5x + 1) \) is

\[ \boxed{-7x + 2} \]