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let x be the number, then:

(x + 1) × 2 + 5 = x + 1

→ 2x + 2 + 5 = x + 1

→ 2x + 7 = x + 1

→ 2x - x = 1 - 7

→ x = -6

The number is -6.

Checking: -6 +1 = -5; 5 × 2 = -10; -10 + 5 = -5 which is the same as -6 + 1 = -5.

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Q: What number when increased by 1 and doubled and then increased by 5 has a result that is the same as when the number is increased by 1?
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