Simplify each (distribution and combining like terms) 1. \( 5(x-6)-13 \)

Sure! Let's simplify the expression \( 5(x - 6) - 13 \) by using the distributive property and then combining like terms. **Step 1: Apply the Distributive Property** The distributive property states that \( a(b + c) = ab + ac \). Apply this to \( 5(x - 6) \): \[ 5(x - 6) = 5 \times x + 5 \times (-6) = 5x - 30 \] **Step 2: Subtract 13** Now, subtract 13 from the result: \[ 5x - 30 - 13 \] **Step 3: Combine Like Terms** Combine the constant terms \(-30\) and \(-13\): \[ -30 - 13 = -43 \] **Final Simplified Expression:** \[ 5x - 43 \] **Answer:** \(5x - 43\)