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Simplifying i(3 + -2i) + -1(5 + -1i) = x + 2 + (4y + -3) * i (3 * i + -2i * i) + -1(5 + -1i) = x + 2 + (4y + -3) * i (3i + -2i2) + -1(5 + -1i) = x + 2 + (4y + -3) * i 3i + -2i2 + (5 * -1 + -1i * -1) = x + 2 + (4y + -3) * i 3i + -2i2 + (-5 + 1i) = x + 2 + (4y + -3) * i Reorder the terms: -5 + 3i + 1i + -2i2 = x + 2 + (4y + -3) * i Combine like terms: 3i + 1i = 4i -5 + 4i + -2i2 = x + 2 + (4y + -3) * i Reorder the terms: -5 + 4i + -2i2 = x + 2 + (-3 + 4y) * i Reorder the terms for easier multiplication: -5 + 4i + -2i2 = x + 2 + i(-3 + 4y) -5 + 4i + -2i2 = x + 2 + (-3 * i + 4y * i) -5 + 4i + -2i2 = x + 2 + (-3i + 4iy) Reorder the terms: -5 + 4i + -2i2 = 2 + -3i + 4iy + x Solving -5 + 4i + -2i2 = 2 + -3i + 4iy + x Solving for variable 'i'. Reorder the terms: -5 + -2 + 4i + 3i + -4iy + -2i2 + -1x = 2 + -3i + 4iy + x + -2 + 3i + -4iy + -1x Combine like terms: -5 + -2 = -7 -7 + 4i + 3i + -4iy + -2i2 + -1x = 2 + -3i + 4iy + x + -2 + 3i + -4iy + -1x Combine like terms: 4i + 3i = 7i -7 + 7i + -4iy + -2i2 + -1x = 2 + -3i + 4iy + x + -2 + 3i + -4iy + -1x Reorder the terms: -7 + 7i + -4iy + -2i2 + -1x = 2 + -2 + -3i + 3i + 4iy + -4iy + x + -1x Combine like terms: 2 + -2 = 0 -7 + 7i + -4iy + -2i2 + -1x = 0 + -3i + 3i + 4iy + -4iy + x + -1x -7 + 7i + -4iy + -2i2 + -1x = -3i + 3i + 4iy + -4iy + x + -1x Combine like terms: -3i + 3i = 0 -7 + 7i + -4iy + -2i2 + -1x = 0 + 4iy + -4iy + x + -1x -7 + 7i + -4iy + -2i2 + -1x = 4iy + -4iy + x + -1x Combine like terms: 4iy + -4iy = 0 -7 + 7i + -4iy + -2i2 + -1x = 0 + x + -1x -7 + 7i + -4iy + -2i2 + -1x = x + -1x Combine like terms: x + -1x = 0 -7 + 7i + -4iy + -2i2 + -1x = 0 The solution to this equation could not be determined.
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