To simplify the expression \(4x + 2 + 3x - 5\), we follow these steps:
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Combine like terms: Identify and combine the \(x\) terms and the constant terms.
- For the \(x\) terms: \(4x + 3x = 7x\)
- For the constant terms: \(2 - 5 = -3\)
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Write the simplified expression: Combine the results from above. \[ 7x - 3 \]
Thus, the simplified expression is \(7x - 3\).