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Simplifying 4[5x + 2] = -9[x + -3] Reorder the terms: 4[2 + 5x] = -9[x + -3] [2 * 4 + 5x * 4] = -9[x + -3] [8 + 20x] = -9[x + -3] Reorder the terms: 8 + 20x = -9[-3 + x] 8 + 20x = [-3 * -9 + x * -9] 8 + 20x = [27 + -9x] Solving 8 + 20x = 27 + -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. 8 + 20x + 9x = 27 + -9x + 9x Combine like terms: 20x + 9x = 29x 8 + 29x = 27 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 29x = 27 + 0 8 + 29x = 27 Add '-8' to each side of the equation. 8 + -8 + 29x = 27 + -8 Combine like terms: 8 + -8 = 0 0 + 29x = 27 + -8 29x = 27 + -8 Combine like terms: 27 + -8 = 19 29x = 19 Divide each side by '29'. x = 0.6551724138 Simplifying x = 0.6551724138
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