Solve the linear equation. \[ x+1=3 x+37 \] What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \( \} \). B. The solution set is \( \{x \mid x \) is a real number \( \} \). C. The solution set is \( \varnothing \).

To solve the equation \( x + 1 = 3x + 37 \), we first isolate \( x \) on one side. Start by subtracting \( x \) from both sides: \[ 1 = 2x + 37 \] Next, we subtract 37 from both sides: \[ 1 - 37 = 2x \] \[ -36 = 2x \] Now, divide both sides by 2: \[ x = -18 \] So, the correct answer is \( x = -18 \). Since we have a single solution, the solution set is \( \{-18\} \). Therefore, none of the provided choices directly match the correct answer. A. The solution set is \( \} \) is incorrect. B. The solution set is \( \{x \mid x \) is a real number \( \} \) is incorrect as it implies all real numbers. C. The solution set is \( \varnothing \) is incorrect as there is a solution. Hence, the correct answer is not listed among the choices.