\( 0.5 ( 2 = 4 x ) + 2 x = 13 \)

Let's start by simplifying the equation step by step! First, distribute the \( 0.5 \) on the left side: \[ 0.5 \times 2 + 0.5 \times 4x + 2x = 13 \] This simplifies to: \[ 1 + 2x + 2x = 13 \] Combine like terms: \[ 1 + 4x = 13 \] Now, subtract 1 from both sides: \[ 4x = 12 \] Finally, divide by 4: \[ x = 3 \] And there you have it, \( x = 3 \) is the solution!