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Simplifying (3x + -4) + -1(1 + -2x) * i = 5 Reorder the terms: (-4 + 3x) + -1(1 + -2x) * i = 5 Remove parenthesis around (-4 + 3x) -4 + 3x + -1(1 + -2x) * i = 5 Reorder the terms for easier multiplication: -4 + 3x + -1i(1 + -2x) = 5 -4 + 3x + (1 * -1i + -2x * -1i) = 5 -4 + 3x + (-1i + 2ix) = 5 Reorder the terms: -4 + -1i + 2ix + 3x = 5 Solving -4 + -1i + 2ix + 3x = 5 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1i + 2ix + 4 + 3x = 5 + 4 Reorder the terms: -4 + 4 + -1i + 2ix + 3x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -1i + 2ix + 3x = 5 + 4 -1i + 2ix + 3x = 5 + 4 Combine like terms: 5 + 4 = 9 -1i + 2ix + 3x = 9 Add '-3x' to each side of the equation. -1i + 2ix + 3x + -3x = 9 + -3x Combine like terms: 3x + -3x = 0 -1i + 2ix + 0 = 9 + -3x -1i + 2ix = 9 + -3x Reorder the terms: -9 + -1i + 2ix + 3x = 9 + -3x + -9 + 3x Reorder the terms: -9 + -1i + 2ix + 3x = 9 + -9 + -3x + 3x Combine like terms: 9 + -9 = 0 -9 + -1i + 2ix + 3x = 0 + -3x + 3x -9 + -1i + 2ix + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -9 + -1i + 2ix + 3x = 0 The solution to this equation could not be determined.
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