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Simplifying 15x + 2i + -1 + -1iy = 2x + ix Reorder the terms: -1 + 2i + -1iy + 15x = 2x + ix Reorder the terms: -1 + 2i + -1iy + 15x = ix + 2x Solving -1 + 2i + -1iy + 15x = ix + 2x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1ix' to each side of the equation. -1 + 2i + -1iy + -1ix + 15x = ix + -1ix + 2x Reorder the terms: -1 + 2i + -1ix + -1iy + 15x = ix + -1ix + 2x Combine like terms: ix + -1ix = 0 -1 + 2i + -1ix + -1iy + 15x = 0 + 2x -1 + 2i + -1ix + -1iy + 15x = 2x Add '1' to each side of the equation. -1 + 2i + -1ix + -1iy + 1 + 15x = 1 + 2x Reorder the terms: -1 + 1 + 2i + -1ix + -1iy + 15x = 1 + 2x Combine like terms: -1 + 1 = 0 0 + 2i + -1ix + -1iy + 15x = 1 + 2x 2i + -1ix + -1iy + 15x = 1 + 2x Add '-15x' to each side of the equation. 2i + -1ix + -1iy + 15x + -15x = 1 + 2x + -15x Combine like terms: 15x + -15x = 0 2i + -1ix + -1iy + 0 = 1 + 2x + -15x 2i + -1ix + -1iy = 1 + 2x + -15x Combine like terms: 2x + -15x = -13x 2i + -1ix + -1iy = 1 + -13x Reorder the terms: -1 + 2i + -1ix + -1iy + 13x = 1 + -13x + -1 + 13x Reorder the terms: -1 + 2i + -1ix + -1iy + 13x = 1 + -1 + -13x + 13x Combine like terms: 1 + -1 = 0 -1 + 2i + -1ix + -1iy + 13x = 0 + -13x + 13x -1 + 2i + -1ix + -1iy + 13x = -13x + 13x Combine like terms: -13x + 13x = 0 -1 + 2i + -1ix + -1iy + 13x = 0 The solution to this equation could not be determined.
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