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Simplify this expression:

4(1 – 3x) + 7x – 8.

1 answer

To simplify the expression \( 4(1 - 3x) + 7x - 8 \), follow the steps below:

  1. Distribute the \( 4 \) in the first term: \[ 4(1) - 4(3x) = 4 - 12x \]

  2. Now, substitute this back into the expression: \[ 4 - 12x + 7x - 8 \]

  3. Combine like terms:

    • For the constant terms: \( 4 - 8 = -4 \)
    • For the \( x \) terms: \( -12x + 7x = -5x \)

Thus, the simplified expression is: \[ -5x - 4 \]

The correct answer is: \(-5x - 4\)