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Simplifying -3x + 5 + -8xi + 1 = 0 Reorder the terms: 5 + 1 + -8ix + -3x = 0 Combine like terms: 5 + 1 = 6 6 + -8ix + -3x = 0 Solving 6 + -8ix + -3x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -8ix + -6 + -3x = 0 + -6 Reorder the terms: 6 + -6 + -8ix + -3x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -8ix + -3x = 0 + -6 -8ix + -3x = 0 + -6 Combine like terms: 0 + -6 = -6 -8ix + -3x = -6 Add '3x' to each side of the equation. -8ix + -3x + 3x = -6 + 3x Combine like terms: -3x + 3x = 0 -8ix + 0 = -6 + 3x -8ix = -6 + 3x Divide each side by '-8x'. i = 0.75x-1 + -0.375 Simplifying i = 0.75x-1 + -0.375 Reorder the terms: i = -0.375 + 0.75x-1
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