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Simplifying (7x + -1) + 4i = 2 + (5y + 2) * i Reorder the terms: (-1 + 7x) + 4i = 2 + (5y + 2) * i Remove parenthesis around (-1 + 7x) -1 + 7x + 4i = 2 + (5y + 2) * i Reorder the terms: -1 + 4i + 7x = 2 + (5y + 2) * i Reorder the terms: -1 + 4i + 7x = 2 + (2 + 5y) * i Reorder the terms for easier multiplication: -1 + 4i + 7x = 2 + i(2 + 5y) -1 + 4i + 7x = 2 + (2 * i + 5y * i) -1 + 4i + 7x = 2 + (2i + 5iy) Solving -1 + 4i + 7x = 2 + 2i + 5iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. -1 + 4i + -2i + 7x = 2 + 2i + -2i + 5iy Combine like terms: 4i + -2i = 2i -1 + 2i + 7x = 2 + 2i + -2i + 5iy Combine like terms: 2i + -2i = 0 -1 + 2i + 7x = 2 + 0 + 5iy -1 + 2i + 7x = 2 + 5iy Add '-5iy' to each side of the equation. -1 + 2i + -5iy + 7x = 2 + 5iy + -5iy Combine like terms: 5iy + -5iy = 0 -1 + 2i + -5iy + 7x = 2 + 0 -1 + 2i + -5iy + 7x = 2 Add '1' to each side of the equation. -1 + 2i + -5iy + 1 + 7x = 2 + 1 Reorder the terms: -1 + 1 + 2i + -5iy + 7x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 2i + -5iy + 7x = 2 + 1 2i + -5iy + 7x = 2 + 1 Combine like terms: 2 + 1 = 3 2i + -5iy + 7x = 3 Add '-7x' to each side of the equation. 2i + -5iy + 7x + -7x = 3 + -7x Combine like terms: 7x + -7x = 0 2i + -5iy + 0 = 3 + -7x 2i + -5iy = 3 + -7x Reorder the terms: -3 + 2i + -5iy + 7x = 3 + -7x + -3 + 7x Reorder the terms: -3 + 2i + -5iy + 7x = 3 + -3 + -7x + 7x Combine like terms: 3 + -3 = 0 -3 + 2i + -5iy + 7x = 0 + -7x + 7x -3 + 2i + -5iy + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 2i + -5iy + 7x = 0 The solution to this equation could not be determined.
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