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Simplifying 9X + -4[6(X + 1) + -1(7 + -1X) * 3] = 40 + -1(5X + -9) Reorder the terms: 9X + -4[6(1 + X) + -1(7 + -1X) * 3] = 40 + -1(5X + -9) 9X + -4[(1 * 6 + X * 6) + -1(7 + -1X) * 3] = 40 + -1(5X + -9) 9X + -4[(6 + 6X) + -1(7 + -1X) * 3] = 40 + -1(5X + -9) Reorder the terms for easier multiplication: 9X + -4[6 + 6X + -1 * 3(7 + -1X)] = 40 + -1(5X + -9) Multiply -1 * 3 9X + -4[6 + 6X + -3(7 + -1X)] = 40 + -1(5X + -9) 9X + -4[6 + 6X + (7 * -3 + -1X * -3)] = 40 + -1(5X + -9) 9X + -4[6 + 6X + (-21 + 3X)] = 40 + -1(5X + -9) Reorder the terms: 9X + -4[6 + -21 + 6X + 3X] = 40 + -1(5X + -9) Combine like terms: 6 + -21 = -15 9X + -4[-15 + 6X + 3X] = 40 + -1(5X + -9) Combine like terms: 6X + 3X = 9X 9X + -4[-15 + 9X] = 40 + -1(5X + -9) 9X + [-15 * -4 + 9X * -4] = 40 + -1(5X + -9) 9X + [60 + -36X] = 40 + -1(5X + -9) Reorder the terms: 60 + 9X + -36X = 40 + -1(5X + -9) Combine like terms: 9X + -36X = -27X 60 + -27X = 40 + -1(5X + -9) Reorder the terms: 60 + -27X = 40 + -1(-9 + 5X) 60 + -27X = 40 + (-9 * -1 + 5X * -1) 60 + -27X = 40 + (9 + -5X) Combine like terms: 40 + 9 = 49 60 + -27X = 49 + -5X Solving 60 + -27X = 49 + -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. 60 + -27X + 5X = 49 + -5X + 5X Combine like terms: -27X + 5X = -22X 60 + -22X = 49 + -5X + 5X Combine like terms: -5X + 5X = 0 60 + -22X = 49 + 0 60 + -22X = 49 Add '-60' to each side of the equation. 60 + -60 + -22X = 49 + -60 Combine like terms: 60 + -60 = 0 0 + -22X = 49 + -60 -22X = 49 + -60 Combine like terms: 49 + -60 = -11 -22X = -11 Divide each side by '-22'. X = 0.5 Simplifying X = 0.5
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