$\"\"$

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The equation is $\"\"$ .

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For any real numbers a and b, where $\"\"$ , if $\"\"$ , then $\"\"$ or $\"\"$ .

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Case 1: $\"\"$ .

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Subtract 1 from each side.

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$\"\"$

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$\"\"$

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Subtract x from each side.

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$\"\"$

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$\"\"$

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$\"\"$

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This is false, so there is no solution in this case. $\"\"$

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Case 2: $\"\"$ .

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Subtract x from each side.

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$\"\"$

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$\"\"$

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$\"\"$

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Divide each side by negative 2.

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$\"\"$

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$\"\"$ .

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There appear one solution that is $\"\"$ . $\"\"$

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To check the solution, substitute the value of $\"\"$ in the original equation.

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$\"\"$

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$\"\"$

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$\"\"$

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This is not true, so the equation has no solution. $\"\"$

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The equation has no solution.