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1. \( 8(5 x)-2(x+1) \)

Ask by Chambers Summers. in the United States
Nov 07,2024

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\(38x-2\)

Solución

Calculate or simplify the expression \( 8(5x)-2(x+1) \). Simplify the expression by following steps: - step0: Solution: \(8\times 5x-2\left(x+1\right)\) - step1: Multiply the numbers: \(40x-2\left(x+1\right)\) - step2: Expand the expression: \(40x-2x-2\) - step3: Subtract the terms: \(38x-2\) The simplified expression of \(8(5x)-2(x+1)\) is \(38x-2\).

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The Deep Dive

Let’s simplify that expression! First, distribute the 8 into \( 5x \), which gives you \( 40x \). Next, distribute the -2 into \( (x + 1) \), resulting in \( -2x - 2 \). Putting it all together, you have \( 40x - 2x - 2 \). Combine like terms, and you get \( 38x - 2 \). Voilà! Now, if you ever encounter an expression like this, just remember: distribute first, combine like terms, and you’ll be on your way to simplification success! Common mistakes often include forgetting a negative sign during distribution – so keep an eye out for those little details!

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