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Simplifying 3(4x + 9) = 6 + 5(2 + -1x) Reorder the terms: 3(9 + 4x) = 6 + 5(2 + -1x) (9 * 3 + 4x * 3) = 6 + 5(2 + -1x) (27 + 12x) = 6 + 5(2 + -1x) 27 + 12x = 6 + (2 * 5 + -1x * 5) 27 + 12x = 6 + (10 + -5x) Combine like terms: 6 + 10 = 16 27 + 12x = 16 + -5x Solving 27 + 12x = 16 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 27 + 12x + 5x = 16 + -5x + 5x Combine like terms: 12x + 5x = 17x 27 + 17x = 16 + -5x + 5x Combine like terms: -5x + 5x = 0 27 + 17x = 16 + 0 27 + 17x = 16 Add '-27' to each side of the equation. 27 + -27 + 17x = 16 + -27 Combine like terms: 27 + -27 = 0 0 + 17x = 16 + -27 17x = 16 + -27 Combine like terms: 16 + -27 = -11 17x = -11 Divide each side by '17'. x = -0.6470588235 Simplifying x = -0.6470588235
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