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Simplify the expression 2x + 5 – 4x + 7x – 2

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To simplify the expression \( 2x + 5 - 4x + 7x - 2 \), we will combine like terms.

  1. Combine the \( x \) terms: \[ 2x - 4x + 7x = (2 - 4 + 7)x = 5x \]

  2. Combine the constant terms: \[ 5 - 2 = 3 \]

Putting it all together, the simplified expression is: \[ 5x + 3 \]

Therefore, the simplified expression is \( \boxed{5x + 3} \).