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Simplifying -2[8 + -5(2 + -3x) + -7x] = 4(x + -1I + -9I) -2[8 + (2 * -5 + -3x * -5) + -7x] = 4(x + -1I + -9I) -2[8 + (-10 + 15x) + -7x] = 4(x + -1I + -9I) Combine like terms: 8 + -10 = -2 -2[-2 + 15x + -7x] = 4(x + -1I + -9I) Combine like terms: 15x + -7x = 8x -2[-2 + 8x] = 4(x + -1I + -9I) [-2 * -2 + 8x * -2] = 4(x + -1I + -9I) [4 + -16x] = 4(x + -1I + -9I) Reorder the terms: 4 + -16x = 4(-1I + -9I + x) Combine like terms: -1I + -9I = -10I 4 + -16x = 4(-10I + x) 4 + -16x = (-10I * 4 + x * 4) 4 + -16x = (-40I + 4x) Solving 4 + -16x = -40I + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + -16x + -4x = -40I + 4x + -4x Combine like terms: -16x + -4x = -20x 4 + -20x = -40I + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -20x = -40I + 0 4 + -20x = -40I Add '-4' to each side of the equation. 4 + -4 + -20x = -4 + -40I Combine like terms: 4 + -4 = 0 0 + -20x = -4 + -40I -20x = -4 + -40I Divide each side by '-20'. x = 0.2 + 2I Simplifying x = 0.2 + 2I
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