Translate the following verbal statement into an algebraic equation and then solve: Use \( x \) for your variable. The quotient of four more than a number and seven is ten. Equation \( x= \)

To translate the verbal statement into an algebraic equation, we start with "four more than a number," which can be expressed as \( x + 4 \). Then, the phrase "the quotient of" indicates division, so we write the equation as: \[ \frac{x + 4}{7} = 10 \] Now, to solve for \( x \), we first multiply both sides by 7 to eliminate the denominator: \[ x + 4 = 70 \] Next, we subtract 4 from both sides: \[ x = 66 \] So, the value of \( x \) is \( 66 \).