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Simplifying x + -7i = 1 + -1(4 + -1y) * i Reorder the terms: -7i + x = 1 + -1(4 + -1y) * i Reorder the terms for easier multiplication: -7i + x = 1 + -1i(4 + -1y) -7i + x = 1 + (4 * -1i + -1y * -1i) -7i + x = 1 + (-4i + 1iy) Solving -7i + x = 1 + -4i + 1iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4i' to each side of the equation. -7i + 4i + x = 1 + -4i + 4i + 1iy Combine like terms: -7i + 4i = -3i -3i + x = 1 + -4i + 4i + 1iy Combine like terms: -4i + 4i = 0 -3i + x = 1 + 0 + 1iy -3i + x = 1 + 1iy Add '-1iy' to each side of the equation. -3i + -1iy + x = 1 + 1iy + -1iy Combine like terms: 1iy + -1iy = 0 -3i + -1iy + x = 1 + 0 -3i + -1iy + x = 1 Add '-1x' to each side of the equation. -3i + -1iy + x + -1x = 1 + -1x Combine like terms: x + -1x = 0 -3i + -1iy + 0 = 1 + -1x -3i + -1iy = 1 + -1x Reorder the terms: -1 + -3i + -1iy + x = 1 + -1x + -1 + x Reorder the terms: -1 + -3i + -1iy + x = 1 + -1 + -1x + x Combine like terms: 1 + -1 = 0 -1 + -3i + -1iy + x = 0 + -1x + x -1 + -3i + -1iy + x = -1x + x Combine like terms: -1x + x = 0 -1 + -3i + -1iy + x = 0 The solution to this equation could not be determined.
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