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Simplifying -1[3X + -1(2X + 5)] = -4 + -1[3(2X + -4) + -3] Reorder the terms: -1[3X + -1(5 + 2X)] = -4 + -1[3(2X + -4) + -3] -1[3X + (5 * -1 + 2X * -1)] = -4 + -1[3(2X + -4) + -3] -1[3X + (-5 + -2X)] = -4 + -1[3(2X + -4) + -3] Reorder the terms: -1[-5 + 3X + -2X] = -4 + -1[3(2X + -4) + -3] Combine like terms: 3X + -2X = 1X -1[-5 + 1X] = -4 + -1[3(2X + -4) + -3] [-5 * -1 + 1X * -1] = -4 + -1[3(2X + -4) + -3] [5 + -1X] = -4 + -1[3(2X + -4) + -3] Reorder the terms: 5 + -1X = -4 + -1[3(-4 + 2X) + -3] 5 + -1X = -4 + -1[(-4 * 3 + 2X * 3) + -3] 5 + -1X = -4 + -1[(-12 + 6X) + -3] Reorder the terms: 5 + -1X = -4 + -1[-12 + -3 + 6X] Combine like terms: -12 + -3 = -15 5 + -1X = -4 + -1[-15 + 6X] 5 + -1X = -4 + [-15 * -1 + 6X * -1] 5 + -1X = -4 + [15 + -6X] Combine like terms: -4 + 15 = 11 5 + -1X = 11 + -6X Solving 5 + -1X = 11 + -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. 5 + -1X + 6X = 11 + -6X + 6X Combine like terms: -1X + 6X = 5X 5 + 5X = 11 + -6X + 6X Combine like terms: -6X + 6X = 0 5 + 5X = 11 + 0 5 + 5X = 11 Add '-5' to each side of the equation. 5 + -5 + 5X = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 5X = 11 + -5 5X = 11 + -5 Combine like terms: 11 + -5 = 6 5X = 6 Divide each side by '5'. X = 1.2 Simplifying X = 1.2
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