\( \begin{array}{l}\text { Consider the following. } \\ \text { the sum of thirteen more than a number and one-fifth of the number } \\ \text { Translate into a variable expression. (Use } x \text { for your variable. Do not simplify.) } \\ \text { Simplify. } \\ \text { Q }\end{array} \)

To translate the given statement into a variable expression, we start with "a number," which we represent as \( x \). The phrase "thirteen more than a number" translates to \( x + 13 \). Next, "one-fifth of the number" is expressed as \( \frac{1}{5} x \). Therefore, the complete expression is: \[ x + 13 + \frac{1}{5} x \] When we now simplify this expression, we combine like terms. The variable terms \( x \) and \( \frac{1}{5} x \) can be rewritten with a common denominator: \[ x = \frac{5}{5} x \] So, we get: \[ \frac{5}{5} x + \frac{1}{5} x = \frac{6}{5} x \] Thus, the simplified expression is: \[ \frac{6}{5} x + 13 \]