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Multiple Choice Question

Simplify:
8x + 3 (x + 5) - 5 (x - 4)
A.
6x + 35

B.
6x + 1

C. 6x - 5

D.
43x

1 answer

Let's simplify the expression step by step:

  1. Start with the expression:
    \( 8x + 3(x + 5) - 5(x - 4) \)

  2. Distribute \(3\) in \(3(x + 5)\):
    \( 3(x + 5) = 3x + 15 \)

  3. Distribute \(-5\) in \(-5(x - 4)\):
    \(-5(x - 4) = -5x + 20\)

  4. Substitute these back into the expression:
    \( 8x + 3x + 15 - 5x + 20 \)

  5. Combine like terms:

    • Combine the \(x\) terms:
      \( 8x + 3x - 5x = 6x \)
    • Combine the constant terms:
      \( 15 + 20 = 35 \)

So, the expression simplifies to: \( 6x + 35 \)

Therefore, the correct answer is A. 6x + 35.