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Simplifying (5x + 2) + -7i = 4 + (2y + 1) * i Reorder the terms: (2 + 5x) + -7i = 4 + (2y + 1) * i Remove parenthesis around (2 + 5x) 2 + 5x + -7i = 4 + (2y + 1) * i Reorder the terms: 2 + -7i + 5x = 4 + (2y + 1) * i Reorder the terms: 2 + -7i + 5x = 4 + (1 + 2y) * i Reorder the terms for easier multiplication: 2 + -7i + 5x = 4 + i(1 + 2y) 2 + -7i + 5x = 4 + (1 * i + 2y * i) 2 + -7i + 5x = 4 + (1i + 2iy) Solving 2 + -7i + 5x = 4 + 1i + 2iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 2 + -7i + -1i + 5x = 4 + 1i + -1i + 2iy Combine like terms: -7i + -1i = -8i 2 + -8i + 5x = 4 + 1i + -1i + 2iy Combine like terms: 1i + -1i = 0 2 + -8i + 5x = 4 + 0 + 2iy 2 + -8i + 5x = 4 + 2iy Add '-2iy' to each side of the equation. 2 + -8i + -2iy + 5x = 4 + 2iy + -2iy Combine like terms: 2iy + -2iy = 0 2 + -8i + -2iy + 5x = 4 + 0 2 + -8i + -2iy + 5x = 4 Add '-2' to each side of the equation. 2 + -8i + -2iy + -2 + 5x = 4 + -2 Reorder the terms: 2 + -2 + -8i + -2iy + 5x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -8i + -2iy + 5x = 4 + -2 -8i + -2iy + 5x = 4 + -2 Combine like terms: 4 + -2 = 2 -8i + -2iy + 5x = 2 Add '-5x' to each side of the equation. -8i + -2iy + 5x + -5x = 2 + -5x Combine like terms: 5x + -5x = 0 -8i + -2iy + 0 = 2 + -5x -8i + -2iy = 2 + -5x Reorder the terms: -2 + -8i + -2iy + 5x = 2 + -5x + -2 + 5x Reorder the terms: -2 + -8i + -2iy + 5x = 2 + -2 + -5x + 5x Combine like terms: 2 + -2 = 0 -2 + -8i + -2iy + 5x = 0 + -5x + 5x -2 + -8i + -2iy + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -2 + -8i + -2iy + 5x = 0 The solution to this equation could not be determined.
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