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For the following absolute value equations, I have no trouble solving them and finding the valid [tex] x [/tex] solutions by plugging all the x solutions into the original equation.

However, I am just wondering if could someone please show me how to set restrictions for the following equations? I want to know how to solve these equations in two ways instead of just one.

Thank you very much.

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1. [tex] | 2|x + 3| - 5 | = 7 [/tex]

2. [tex] | x - | 2x + 1 || = 3 [/tex]

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# Absolute Value Equations: Setting Restrictions

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