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6. Simplify \( 2(3 x-2)+9-4 x \)

Ask by Lynch Sullivan. in the United States
Feb 19,2025

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Answer

The simplified expression is \(2x+5\).

Solution

Calculate or simplify the expression \( 2(3x-2)+9-4x \). Simplify the expression by following steps: - step0: Solution: \(2\left(3x-2\right)+9-4x\) - step1: Expand the expression: \(6x-4+9-4x\) - step2: Subtract the terms: \(2x+5\) The simplified expression is \(2x+5\).

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Beyond the Answer

First, let's distribute the 2 in the expression \(2(3x - 2)\), which gives us \(6x - 4\). Now, combining all the terms together we have: \(6x - 4 + 9 - 4x\) Now, combine like terms. Adding \(6x\) and \(-4x\) gives us \(2x\), and combining \(-4\) and \(9\) results in \(5\). So the final simplified expression is: \(2x + 5\)

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