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Simplifying x + -2y + -3xi + -5yi = 7 + -10i Reorder the terms: -3ix + -5iy + x + -2y = 7 + -10i Solving -3ix + -5iy + x + -2y = 7 + -10i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10i' to each side of the equation. -3ix + -5iy + x + 10i + -2y = 7 + -10i + 10i Reorder the terms: 10i + -3ix + -5iy + x + -2y = 7 + -10i + 10i Combine like terms: -10i + 10i = 0 10i + -3ix + -5iy + x + -2y = 7 + 0 10i + -3ix + -5iy + x + -2y = 7 Add '-1x' to each side of the equation. 10i + -3ix + -5iy + x + -1x + -2y = 7 + -1x Combine like terms: x + -1x = 0 10i + -3ix + -5iy + 0 + -2y = 7 + -1x 10i + -3ix + -5iy + -2y = 7 + -1x Add '2y' to each side of the equation. 10i + -3ix + -5iy + -2y + 2y = 7 + -1x + 2y Combine like terms: -2y + 2y = 0 10i + -3ix + -5iy + 0 = 7 + -1x + 2y 10i + -3ix + -5iy = 7 + -1x + 2y Reorder the terms: -7 + 10i + -3ix + -5iy + x + -2y = 7 + -1x + 2y + -7 + x + -2y Reorder the terms: -7 + 10i + -3ix + -5iy + x + -2y = 7 + -7 + -1x + x + 2y + -2y Combine like terms: 7 + -7 = 0 -7 + 10i + -3ix + -5iy + x + -2y = 0 + -1x + x + 2y + -2y -7 + 10i + -3ix + -5iy + x + -2y = -1x + x + 2y + -2y Combine like terms: -1x + x = 0 -7 + 10i + -3ix + -5iy + x + -2y = 0 + 2y + -2y -7 + 10i + -3ix + -5iy + x + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -7 + 10i + -3ix + -5iy + x + -2y = 0 The solution to this equation could not be determined.
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