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Final answer:To prove that x = -2, simplify the equation step by step until x = -2 is obtained.Explanation:To prove that x = -2, we need to simplify the equation step by step. Starting with the left side of the equation:18x - 2(3x + 1) = 5x - 1618x - 6x - 2 = 5x - 1612x - 2 = 5x - 16Subtract 5x from both sides: 12x - 5x - 2 = -16Combine like terms: 7x - 2 = -16Add 2 to both sides: 7x - 2 + 2 = -16 + 27x = -14Divide both sides by 7: x = -2Therefore, x = -2 has been proven.Learn more about Solving Equations here:brainly.com/question/18322830#SPJ11...