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Simplifying 9(8 + 6x + 12) = 3x + 6(4x + 8) Reorder the terms: 9(8 + 12 + 6x) = 3x + 6(4x + 8) Combine like terms: 8 + 12 = 20 9(20 + 6x) = 3x + 6(4x + 8) (20 * 9 + 6x * 9) = 3x + 6(4x + 8) (180 + 54x) = 3x + 6(4x + 8) Reorder the terms: 180 + 54x = 3x + 6(8 + 4x) 180 + 54x = 3x + (8 * 6 + 4x * 6) 180 + 54x = 3x + (48 + 24x) Reorder the terms: 180 + 54x = 48 + 3x + 24x Combine like terms: 3x + 24x = 27x 180 + 54x = 48 + 27x Solving 180 + 54x = 48 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 180 + 54x + -27x = 48 + 27x + -27x Combine like terms: 54x + -27x = 27x 180 + 27x = 48 + 27x + -27x Combine like terms: 27x + -27x = 0 180 + 27x = 48 + 0 180 + 27x = 48 Add '-180' to each side of the equation. 180 + -180 + 27x = 48 + -180 Combine like terms: 180 + -180 = 0 0 + 27x = 48 + -180 27x = 48 + -180 Combine like terms: 48 + -180 = -132 27x = -132 Divide each side by '27'. x = -4.888888889 Simplifying x = -4.888888889
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