Simplifying the Expression (-5x-3)5
This expression involves both multiplication and distribution. Let's break down the steps to simplify it.
Understanding the Expression
- Parentheses: The expression (-5x - 3) is enclosed in parentheses. This indicates that we need to treat it as a single unit.
- Multiplication: The entire expression in parentheses is multiplied by 5.
Simplifying the Expression
To simplify, we use the distributive property of multiplication:
a(b + c) = ab + ac
Applying this to our expression:
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Distribute the 5: Multiply 5 by each term inside the parentheses:
5 * (-5x) + 5 * (-3)
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Simplify the multiplication:
-25x - 15
Therefore, the simplified form of (-5x-3)5 is -25x - 15.
Conclusion
By applying the distributive property, we were able to simplify the given expression. This process is fundamental in algebraic manipulations and helps in solving various equations and inequalities.