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Simplifying 9(x + 2 + -4x) + 2 = 9x + 2(12x + -1) Reorder the terms: 9(2 + x + -4x) + 2 = 9x + 2(12x + -1) Combine like terms: x + -4x = -3x 9(2 + -3x) + 2 = 9x + 2(12x + -1) (2 * 9 + -3x * 9) + 2 = 9x + 2(12x + -1) (18 + -27x) + 2 = 9x + 2(12x + -1) Reorder the terms: 18 + 2 + -27x = 9x + 2(12x + -1) Combine like terms: 18 + 2 = 20 20 + -27x = 9x + 2(12x + -1) Reorder the terms: 20 + -27x = 9x + 2(-1 + 12x) 20 + -27x = 9x + (-1 * 2 + 12x * 2) 20 + -27x = 9x + (-2 + 24x) Reorder the terms: 20 + -27x = -2 + 9x + 24x Combine like terms: 9x + 24x = 33x 20 + -27x = -2 + 33x Solving 20 + -27x = -2 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. 20 + -27x + -33x = -2 + 33x + -33x Combine like terms: -27x + -33x = -60x 20 + -60x = -2 + 33x + -33x Combine like terms: 33x + -33x = 0 20 + -60x = -2 + 0 20 + -60x = -2 Add '-20' to each side of the equation. 20 + -20 + -60x = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -60x = -2 + -20 -60x = -2 + -20 Combine like terms: -2 + -20 = -22 -60x = -22 Divide each side by '-60'. x = 0.3666666667 Simplifying x = 0.3666666667
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