n. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. \[ 13+18=20 x+1-38 x \]

We start with the given equation: \[ 13 + 18 = 20x + 1 - 38x \] Step 1. Simplify both sides of the equation. The left-hand side simplifies to: \[ 13 + 18 = 31 \] The right-hand side simplifies as follows: \[ 20x + 1 - 38x = (20 - 38)x + 1 = -18x + 1 \] Thus, the simplified equation is: \[ 31 = 1 - 18x \] Step 2. Isolate the variable \( x \). Subtract 1 from both sides to get the term with \( x \) by itself: \[ 31 - 1 = -18x \] \[ 30 = -18x \] Step 3. Solve for \( x \) by dividing both sides by \(-18\): \[ x = \frac{30}{-18} = -\frac{30}{18} \] Step 4. Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 6: \[ x = -\frac{30 \div 6}{18 \div 6} = -\frac{5}{3} \] Thus, the final answer is: \[ x = -\frac{5}{3} \]