Chapter 3 - Equations and Problem Solving - 3.1 - Solving First-Degree Equations - Problem Set 3.1 - Page 100: 62

$x=\dfrac{12}{11}$

Multiplying both sides by the $LCD= 12 ,$ and using the properties of equality, the value of the variable that satisfies the given equation, $ -\dfrac{11}{12}x=-1 ,$ is \begin{array}{l}\require{cancel} 1(-11x)=12(-1) \\\\ -11x=-12 \\\\ x=\dfrac{-12}{-11} \\\\ x=\dfrac{12}{11} .\end{array}