WEBVTT

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Here is the problem: negative 6(x plus 1) equals 3x plus 2.

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A linear equation in x: isolate x using inverse operations.

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Start with the equation.

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Simplify each side (distribute and combine like terms).

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Subtract 3x from both sides.

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Add 6 to both sides.

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Divide both sides by negative 9.

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So the answer is x equals negative 8 over 9 approximately negative 0.88888889.

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Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

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x equals negative 0.88888889: left side equals negative 0.66666667, right side equals negative 0.66666667, which checks out.