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Simplifying -3(-2x + -3) + 3(x + 6) = 3(x + 12) Reorder the terms: -3(-3 + -2x) + 3(x + 6) = 3(x + 12) (-3 * -3 + -2x * -3) + 3(x + 6) = 3(x + 12) (9 + 6x) + 3(x + 6) = 3(x + 12) Reorder the terms: 9 + 6x + 3(6 + x) = 3(x + 12) 9 + 6x + (6 * 3 + x * 3) = 3(x + 12) 9 + 6x + (18 + 3x) = 3(x + 12) Reorder the terms: 9 + 18 + 6x + 3x = 3(x + 12) Combine like terms: 9 + 18 = 27 27 + 6x + 3x = 3(x + 12) Combine like terms: 6x + 3x = 9x 27 + 9x = 3(x + 12) Reorder the terms: 27 + 9x = 3(12 + x) 27 + 9x = (12 * 3 + x * 3) 27 + 9x = (36 + 3x) Solving 27 + 9x = 36 + 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 + 9x + -3x = 36 + 3x + -3x Combine like terms: 9x + -3x = 6x 27 + 6x = 36 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 6x = 36 + 0 27 + 6x = 36 Add '-27' to each side of the equation. 27 + -27 + 6x = 36 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = 36 + -27 6x = 36 + -27 Combine like terms: 36 + -27 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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