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Simplifying -3(12x + 9) + 6x = 3(x + 2) Reorder the terms: -3(9 + 12x) + 6x = 3(x + 2) (9 * -3 + 12x * -3) + 6x = 3(x + 2) (-27 + -36x) + 6x = 3(x + 2) Combine like terms: -36x + 6x = -30x -27 + -30x = 3(x + 2) Reorder the terms: -27 + -30x = 3(2 + x) -27 + -30x = (2 * 3 + x * 3) -27 + -30x = (6 + 3x) Solving -27 + -30x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + -30x + -3x = 6 + 3x + -3x Combine like terms: -30x + -3x = -33x -27 + -33x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + -33x = 6 + 0 -27 + -33x = 6 Add '27' to each side of the equation. -27 + 27 + -33x = 6 + 27 Combine like terms: -27 + 27 = 0 0 + -33x = 6 + 27 -33x = 6 + 27 Combine like terms: 6 + 27 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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