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(3x-4)/(x+3)+(2x+5)/(x+3)

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Final answer:

The algebraic expression (3x-4)/(x+3) + (2x+5)/(x+3) simplifies to (5x + 1) / (x + 3) by combining like terms.

Step-by-step explanation:

The question posed seems to involve simplifying an algebraic expression, which falls under the subject of Mathematics. The expression given is (3x-4)/(x+3) + (2x+5)/(x+3), which requires the student to combine like terms. Since the denominators are the same, you can combine the numerators to simplify the expression:

  • Combine the numerators: (3x - 4) + (2x + 5)
  • Simplify the resulting expression: 3x + 2x - 4 + 5
  • Combine like terms: 5x + 1
  • Write the simplified fraction: (5x + 1) / (x + 3)

This gives us the simplified expression (5x + 1) / (x + 3).

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