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Simplifying (3x + -1) + 4i = 5 + 2yi Reorder the terms: (-1 + 3x) + 4i = 5 + 2yi Remove parenthesis around (-1 + 3x) -1 + 3x + 4i = 5 + 2yi Reorder the terms: -1 + 4i + 3x = 5 + 2yi Solving -1 + 4i + 3x = 5 + 2iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2iy' to each side of the equation. -1 + 4i + -2iy + 3x = 5 + 2iy + -2iy Combine like terms: 2iy + -2iy = 0 -1 + 4i + -2iy + 3x = 5 + 0 -1 + 4i + -2iy + 3x = 5 Add '1' to each side of the equation. -1 + 4i + -2iy + 1 + 3x = 5 + 1 Reorder the terms: -1 + 1 + 4i + -2iy + 3x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 4i + -2iy + 3x = 5 + 1 4i + -2iy + 3x = 5 + 1 Combine like terms: 5 + 1 = 6 4i + -2iy + 3x = 6 Add '-3x' to each side of the equation. 4i + -2iy + 3x + -3x = 6 + -3x Combine like terms: 3x + -3x = 0 4i + -2iy + 0 = 6 + -3x 4i + -2iy = 6 + -3x Reorder the terms: -6 + 4i + -2iy + 3x = 6 + -3x + -6 + 3x Reorder the terms: -6 + 4i + -2iy + 3x = 6 + -6 + -3x + 3x Combine like terms: 6 + -6 = 0 -6 + 4i + -2iy + 3x = 0 + -3x + 3x -6 + 4i + -2iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 4i + -2iy + 3x = 0 The solution to this equation could not be determined.
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