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Simplifying 12 + -1(3x + -1) = (x + 2) * 2 + 9 Reorder the terms: 12 + -1(-1 + 3x) = (x + 2) * 2 + 9 12 + (-1 * -1 + 3x * -1) = (x + 2) * 2 + 9 12 + (1 + -3x) = (x + 2) * 2 + 9 Combine like terms: 12 + 1 = 13 13 + -3x = (x + 2) * 2 + 9 Reorder the terms: 13 + -3x = (2 + x) * 2 + 9 Reorder the terms for easier multiplication: 13 + -3x = 2(2 + x) + 9 13 + -3x = (2 * 2 + x * 2) + 9 13 + -3x = (4 + 2x) + 9 Reorder the terms: 13 + -3x = 4 + 9 + 2x Combine like terms: 4 + 9 = 13 13 + -3x = 13 + 2x Add '-13' to each side of the equation. 13 + -13 + -3x = 13 + -13 + 2x Combine like terms: 13 + -13 = 0 0 + -3x = 13 + -13 + 2x -3x = 13 + -13 + 2x Combine like terms: 13 + -13 = 0 -3x = 0 + 2x -3x = 2x Solving -3x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3x + -2x = 2x + -2x Combine like terms: -3x + -2x = -5x -5x = 2x + -2x Combine like terms: 2x + -2x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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