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Simplifying 2(9x + 27) + -8 = 3(2x + 54) Reorder the terms: 2(27 + 9x) + -8 = 3(2x + 54) (27 * 2 + 9x * 2) + -8 = 3(2x + 54) (54 + 18x) + -8 = 3(2x + 54) Reorder the terms: 54 + -8 + 18x = 3(2x + 54) Combine like terms: 54 + -8 = 46 46 + 18x = 3(2x + 54) Reorder the terms: 46 + 18x = 3(54 + 2x) 46 + 18x = (54 * 3 + 2x * 3) 46 + 18x = (162 + 6x) Solving 46 + 18x = 162 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 46 + 18x + -6x = 162 + 6x + -6x Combine like terms: 18x + -6x = 12x 46 + 12x = 162 + 6x + -6x Combine like terms: 6x + -6x = 0 46 + 12x = 162 + 0 46 + 12x = 162 Add '-46' to each side of the equation. 46 + -46 + 12x = 162 + -46 Combine like terms: 46 + -46 = 0 0 + 12x = 162 + -46 12x = 162 + -46 Combine like terms: 162 + -46 = 116 12x = 116 Divide each side by '12'. x = 9.666666667 Simplifying x = 9.666666667
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