Final answer:
To find the value of x, simplify the given equation and isolate x by combining like terms, subtracting, and dividing accordingly.
Step-by-step explanation:
The student is asking for help with solving a linear equation in one variable. To find the value of x, we need to simplify the given equation: 68.55 = (0.7143)x + (0.625)(100 - x). First, distribute the 0.625 into the parentheses: 68.55 = 0.7143x + 62.5 - 0.625x. Next, combine like terms by subtracting 0.625x from 0.7143x: 68.55 = (0.7143 - 0.625)x + 62.5. This simplifies to 68.55 = 0.0893x + 62.5. To isolate x, subtract 62.5 from both sides: 68.55 - 62.5 = 0.0893x. Now divide by 0.0893: (68.55 - 62.5) / 0.0893 = x. Finally, calculate the right side to get the value of x.