$\"\"$

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Let x = the number.

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Three times the number represents $\"\"$ and twice the number represents $\"\"$ .

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Three times a number plus twice the number plus 1 represents $\"\"$ . $\"\"$

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$\"\"$

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$\"\"$ (Add: $\"\"$ )

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$\"\"$ (Subtract 1 from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Apply additive identity property: $\"\"$ )

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

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$\"\"$ (Divide each side by 5)

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$\"\"$ (Cancel common terms)

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

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The number is $\"\"$ .