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Simplifying 7x + 10 + i(2 + 2y) = 8 + 3i 7x + 10 + (2 * i + 2y * i) = 8 + 3i 7x + 10 + (2i + 2iy) = 8 + 3i Reorder the terms: 10 + 2i + 2iy + 7x = 8 + 3i Solving 10 + 2i + 2iy + 7x = 8 + 3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. 10 + 2i + 2iy + -3i + 7x = 8 + 3i + -3i Reorder the terms: 10 + 2i + -3i + 2iy + 7x = 8 + 3i + -3i Combine like terms: 2i + -3i = -1i 10 + -1i + 2iy + 7x = 8 + 3i + -3i Combine like terms: 3i + -3i = 0 10 + -1i + 2iy + 7x = 8 + 0 10 + -1i + 2iy + 7x = 8 Add '-10' to each side of the equation. 10 + -1i + 2iy + -10 + 7x = 8 + -10 Reorder the terms: 10 + -10 + -1i + 2iy + 7x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -1i + 2iy + 7x = 8 + -10 -1i + 2iy + 7x = 8 + -10 Combine like terms: 8 + -10 = -2 -1i + 2iy + 7x = -2 Add '-7x' to each side of the equation. -1i + 2iy + 7x + -7x = -2 + -7x Combine like terms: 7x + -7x = 0 -1i + 2iy + 0 = -2 + -7x -1i + 2iy = -2 + -7x Reorder the terms: 2 + -1i + 2iy + 7x = -2 + -7x + 2 + 7x Reorder the terms: 2 + -1i + 2iy + 7x = -2 + 2 + -7x + 7x Combine like terms: -2 + 2 = 0 2 + -1i + 2iy + 7x = 0 + -7x + 7x 2 + -1i + 2iy + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 2 + -1i + 2iy + 7x = 0 The solution to this equation could not be determined.
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