# Chapter 2 - Equations, Inequalities, and Problem Solving - 2.2 Using the Principles Together - 2.2 Exercise Set: 83

#### Work Step by Step

Using the properties of equality, the solution to the given equation, $4+7x=7(x+1)$, is \begin{array}{l} 4+7x=7x+7 \\\\ 7x-7x=7-4 \\\\ 0=3 \text{ (FALSE)} .\end{array} Since the solution above ended with a FALSE statement, then the given equation is a contradiction.

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