To solve the equation \(-47 = -7 + 2x\), follow these steps: 1. Add \(7\) to both sides of the equation to isolate the term with \(x\): \[ -47 + 7 = 2x \] This simplifies to: \[ -40 = 2x \] 2. Now, divide both sides by \(2\) to solve for \(x\): \[ x = \frac{-40}{2} \] This simplifies to: \[ x = -20 \] So, the solution is \(x = -20\).