To simplify the expression \((x + 2) + (-x + 1)\), you can combine like terms:
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Combine the \(x\) terms: \[ x + (-x) = 0 \]
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Combine the constant terms: \[ 2 + 1 = 3 \]
Putting it all together, the simplified expression is: \[ 0 + 3 = 3 \]
Thus, \((x + 2) + (-x + 1) = 3\).