Simplify.
$-7 x+6 y-6 x$

Identify like terms: − 7 x and − 6 x .
Combine like terms: − 7 x − 6 x = − 13 x .
Substitute the combined term back into the expression: − 13 x + 6 y .
The simplified expression is − 13 x + 6 y ​ .

Explanation

Identifying Like Terms We are asked to simplify the expression − 7 x + 6 y − 6 x . This involves combining like terms, which are the terms that have the same variable raised to the same power. In this case, the like terms are − 7 x and − 6 x .

Combining Like Terms To simplify the expression, we combine the like terms − 7 x and − 6 x . This means adding their coefficients: − 7 + ( − 6 ) = − 13 . So, − 7 x − 6 x = − 13 x .

Simplified Expression Now, we substitute this back into the original expression: − 7 x + 6 y − 6 x = − 13 x + 6 y . This is the simplified form of the expression.

Selecting the Correct Option Comparing our simplified expression − 13 x + 6 y with the given options, we see that it matches the third option. Therefore, the correct answer is − 13 x + 6 y .


Examples
Simplifying algebraic expressions is a fundamental skill in algebra and is used in various real-life situations. For instance, imagine you are buying items at a store. You want to buy 7 apples and then realize you need 6 more. If 'x' represents the cost of one apple and 'y' represents the cost of one banana, the expression -7x + 6y - 6x can represent a change in your expenses. Simplifying this expression to -13x + 6y helps you quickly calculate the total cost or savings.

Answered by GinnyAnswer | 2025-07-07