Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.5 - Use of Properties - Problem Set 1.5 - Page 34: 54

$-7x+34$

Using the Distributive Property and then combining like terms, the given expression, $ -3(x+2)-4(x-10) ,$ simplifies to \begin{array}{l}\require{cancel} -3x-6-4x+40 \\\\= (-3x-4x)+(-6+40) \\\\= -7x+34 .\end{array}