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Simplify:

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

B.
6x + 1

C. 6x-5

D.
43x

1 answer

To simplify the expression \(8x + 3(x + 5) - 5(x - 4)\), let's follow these steps:

  1. Distribute the \(3\) and \(-5\) across their respective parentheses: \[ 8x + 3x + 15 - 5x + 20 \]

  2. Combine like terms:

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

  3. Putting it all together, we have: \[ 6x + 35 \]

Thus, the simplified expression is: A. 6x + 35