Final answer:
The student's question pertains to high school algebra, specifically simplifying an algebraic expression by combining like terms. In the given expression, constant terms cancel each other out and variable terms are combined to result in -96/7x.
Step-by-step explanation:
The student's question involves combining like terms and simplifying an algebraic expression, a topic typically covered in high school mathematics. To combine like terms, you look for terms in the expression that have the same variable raised to the same power. For example, in the expression -4/7 + 2/7x - 14x + 4/7, we can combine the constant terms (-4/7 and +4/7) and the x-terms (2/7x and -14x). Combining the constants eliminates them as they add to zero, and combining the x-terms involves finding a common denominator and adding the coefficients:
- -4/7 + +4/7 = 0
- 2/7x - 14x = 2/7x - 98/7x = -96/7x
The simplified expression is -96/7x. Understanding how to combine like terms is crucial for simplifying expressions and solving equations in algebra.