To simplify the expression \((x + 1) - (-2x - 5)\), follow these steps:
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Distribute the negative sign in front of the second parenthesis: \[ (x + 1) + (2x + 5) \]
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Combine like terms: \[ x + 2x + 1 + 5 = 3x + 6 \]
Thus, the simplified expression is: \[ \boxed{3x + 6} \]