## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set - Page 136: 103

#### Answer

$7x-8y-46$

#### Work Step by Step

Using the Distributive Property and then combining like terms, the given expression, $x-2[4y+3(8-x)-1] ,$ simplifies to \begin{array}{l}\require{cancel} x-2[4y+3(8)+3(-x)-1] \\\\= x-2[4y+24-3x-1] \\\\= x-2[4y-3x+(-1+24)] \\\\= x-2[4y-3x+23] \\\\= x-8y+6x-46 \\\\= (x+6x)-8y-46 \\\\= 7x-8y-46 .\end{array}

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