\( 1 \leftarrow \quad \) Solve using the addition principlo. Don'l forget to check \( -5+x=32 \)

To solve the equation \( -5 + x = 32 \) using the **addition principle**, follow these steps: ### Step 1: Add 5 to Both Sides The addition principle states that if you add the same number to both sides of an equation, the equality remains balanced. To isolate \( x \), add 5 to both sides of the equation: \[ -5 + x + 5 = 32 + 5 \] ### Step 2: Simplify Both Sides Simplify the left and right sides of the equation: \[ x = 37 \] ### Step 3: Check the Solution It's important to verify that the solution satisfies the original equation. Substitute \( x = 37 \) back into the original equation: \[ -5 + x = 32 \] \[ -5 + 37 = 32 \] \[ 32 = 32 \] Since both sides of the equation are equal, the solution \( x = 37 \) is correct. ### **Final Answer** \[ x = 37 \]