Answer: To simplify the expression (2/7 * x + 5/8) - (1/6 * x - 3/7), we need to combine like terms.
(2/7 * x + 5/8) - (1/6 * x - 3/7) = (2/7 * x) + (5/8) - (1/6 * x) + (3/7)
= (2/7 * x - 1/6 * x) + (5/8 + 3/7)
= (2/7 - 1/6) * x + (5/8 + 3/7)
= (2/42) * x + (40/56)
Since 2/42 and 40/56 are in lowest terms, this is the simplified expression.
Note that we cannot simplify the expression further unless we know the value of x.
Explanation: