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$\"\"$

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To solve an absolute value equation, first write two equations.

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Equation 1: $\"\"$

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$\"\"$

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Equation 2: $\"\"$

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$\"\"$ \ \

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$\"\"$

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Solve equation 1.

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$\"\"$

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According to addition property of equality: if $\"\"$ , then $\"\"$ .

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$\"\"$ (Subtract 7 from each side)

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$\"\"$ (Subtract:x $\"\"$ )

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$\"\"$ (Divide each side by 4)

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$\"\"$ (Cancel common terms)

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$\"\"$ (Divide: $\"\"$ ) \ \

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$\"\"$

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Solve equation 2.

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$\"\"$ \ \

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$\"\"$ (Subtract 7 from each side)

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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$ (Divide each side by 4)

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$\"\"$ (Cancel common terms)

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$\"\"$ (Divide: $\"\"$ ) \ \

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$\"\"$

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The solution set is $\"\"$

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