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Simplifying (3x + 2) + -2yi = -4 + 7i Reorder the terms: (2 + 3x) + -2yi = -4 + 7i Remove parenthesis around (2 + 3x) 2 + 3x + -2yi = -4 + 7i Reorder the terms: 2 + -2iy + 3x = -4 + 7i Solving 2 + -2iy + 3x = -4 + 7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7i' to each side of the equation. 2 + -2iy + -7i + 3x = -4 + 7i + -7i Reorder the terms: 2 + -7i + -2iy + 3x = -4 + 7i + -7i Combine like terms: 7i + -7i = 0 2 + -7i + -2iy + 3x = -4 + 0 2 + -7i + -2iy + 3x = -4 Add '-2' to each side of the equation. 2 + -7i + -2iy + -2 + 3x = -4 + -2 Reorder the terms: 2 + -2 + -7i + -2iy + 3x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -7i + -2iy + 3x = -4 + -2 -7i + -2iy + 3x = -4 + -2 Combine like terms: -4 + -2 = -6 -7i + -2iy + 3x = -6 Add '-3x' to each side of the equation. -7i + -2iy + 3x + -3x = -6 + -3x Combine like terms: 3x + -3x = 0 -7i + -2iy + 0 = -6 + -3x -7i + -2iy = -6 + -3x Reorder the terms: 6 + -7i + -2iy + 3x = -6 + -3x + 6 + 3x Reorder the terms: 6 + -7i + -2iy + 3x = -6 + 6 + -3x + 3x Combine like terms: -6 + 6 = 0 6 + -7i + -2iy + 3x = 0 + -3x + 3x 6 + -7i + -2iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 6 + -7i + -2iy + 3x = 0 The solution to this equation could not be determined.
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