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Simplifying 9(x + 3) + -12x = 3(x + -6) + -12 Reorder the terms: 9(3 + x) + -12x = 3(x + -6) + -12 (3 * 9 + x * 9) + -12x = 3(x + -6) + -12 (27 + 9x) + -12x = 3(x + -6) + -12 Combine like terms: 9x + -12x = -3x 27 + -3x = 3(x + -6) + -12 Reorder the terms: 27 + -3x = 3(-6 + x) + -12 27 + -3x = (-6 * 3 + x * 3) + -12 27 + -3x = (-18 + 3x) + -12 Reorder the terms: 27 + -3x = -18 + -12 + 3x Combine like terms: -18 + -12 = -30 27 + -3x = -30 + 3x Solving 27 + -3x = -30 + 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 + -3x + -3x = -30 + 3x + -3x Combine like terms: -3x + -3x = -6x 27 + -6x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + -6x = -30 + 0 27 + -6x = -30 Add '-27' to each side of the equation. 27 + -27 + -6x = -30 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = -30 + -27 -6x = -30 + -27 Combine like terms: -30 + -27 = -57 -6x = -57 Divide each side by '-6'. x = 9.5 Simplifying x = 9.5
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