Final answer:
The correct simplification of the expression 5x - 7(2 - 4x) is 33x - 14. However, this result does not match any of the options provided, indicating a possible error with the question or options.
Step-by-step explanation:
To simplify the expression 5x - 7(2 - 4x), we need to distribute the -7 into the parentheses and then combine like terms:
- Multiply -7 by each term inside the parentheses: -7 * 2 = -14 and -7 * -4x = 28x.
- The expression becomes: 5x - 14 + 28x.
- Combine like terms (5x and 28x): 5x + 28x = 33x.
- The final simplified expression is 33x - 14.
However, none of the options (a) -27x + 14, (b) 27x - 14, (c) -3x - 14, or (d) 3x + 14 matches the correct simplified expression we derived. Therefore, it seems there might be an error with the provided options or with the original expression.