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Simplify the following expression:

(x+1)−(−2x−5)

1 answer

To simplify the expression \((x+1) - (-2x-5)\), we start by removing the parentheses.

  1. Distributing the negative sign: \[ (x + 1) - (-2x - 5) = (x + 1) + (2x + 5) \]

  2. Now, combine the like terms:

    • Combine the terms with \(x\): \[ x + 2x = 3x \]

    • Combine the constant terms: \[ 1 + 5 = 6 \]

  3. Putting it all together, we get: \[ 3x + 6 \]

Thus, the simplified expression is: \[ \boxed{3x + 6} \]