Final answer:
A term is a part of an algebraic expression separated by + or - signs. In the expression, x, -7, 3x, and -4(5x+1) are all terms. The expression is simplified by combining like terms, distributing multiplication, and checking the result.
Step-by-step explanation:
In algebraic expressions, a term refers to a single mathematical expression that can consist of numbers, variables (letters), or numbers multiplied by variables, which are separated by a plus (+) or minus (-) sign from the rest of the expression. In the given expression (x-7+3x-4(5x+1)-(8-6), the parts such as x, -7, 3x, and -4(5x+1) are each considered a term. To simplify the expression, you should follow these steps:
- Combine like terms, which are terms that have the same variable raised to the same power. For our case, the terms x and 3x are like terms.
- Distribute the multiplication across the terms in the brackets. Here you would multiply -4 with both 5x and +1.
- Simplify further by combining any constants.
- Eliminate terms wherever possible to ensure the most simplified form of the expression.
- Check the answer to verify that it is reasonable and accurate.