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Simplifying 3(x + 9) = -3(5x + -8) + 6x Reorder the terms: 3(9 + x) = -3(5x + -8) + 6x (9 * 3 + x * 3) = -3(5x + -8) + 6x (27 + 3x) = -3(5x + -8) + 6x Reorder the terms: 27 + 3x = -3(-8 + 5x) + 6x 27 + 3x = (-8 * -3 + 5x * -3) + 6x 27 + 3x = (24 + -15x) + 6x Combine like terms: -15x + 6x = -9x 27 + 3x = 24 + -9x Solving 27 + 3x = 24 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 27 + 3x + 9x = 24 + -9x + 9x Combine like terms: 3x + 9x = 12x 27 + 12x = 24 + -9x + 9x Combine like terms: -9x + 9x = 0 27 + 12x = 24 + 0 27 + 12x = 24 Add '-27' to each side of the equation. 27 + -27 + 12x = 24 + -27 Combine like terms: 27 + -27 = 0 0 + 12x = 24 + -27 12x = 24 + -27 Combine like terms: 24 + -27 = -3 12x = -3 Divide each side by '12'. x = -0.25 Simplifying x = -0.25
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