Final answer:
The calculated value of x, based on the given equation -3/8x - 5/56x + 1/7x = -72, does not match any of the provided options, suggesting a possible typographical error in the question or the options. The correct solution should be x = 224, which is not listed.
Step-by-step explanation:
The equation to solve is -3/8x - 5/56x + 1/7x = -72. To solve for x, we need to combine like terms first.
- First, we find a common denominator for the fractions, which is 56.
- Then we rewrite the equation as: -(21/56)x - (5/56)x + (8/56)x.
- Combine the fractions: (-21 - 5 + 8)/56x = -72.
- Simplify the numerator to get: -18/56x = -72.
- Simplify the fraction -18/56 to get -9/28.
- Now we have: -9/28x = -72.
- Divide both sides by -9/28 to find x.
- Multiply both sides by the reciprocal of -9/28, which is -28/9.
- x = -72 * (-28/9) = 224.
However, the calculated value does not match any of the provided options. Therefore, it is possible that a typographical error occurred in the question or the options. Assuming the correct answer is not among the options and based on the provided calculation steps, none of the options A, B, C, or D is the solution to the presented equation.