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Simplifying 2x + 5i = 4(2 + yi) + -12 Reorder the terms: 5i + 2x = 4(2 + yi) + -12 5i + 2x = (2 * 4 + iy * 4) + -12 5i + 2x = (8 + 4iy) + -12 Reorder the terms: 5i + 2x = 8 + -12 + 4iy Combine like terms: 8 + -12 = -4 5i + 2x = -4 + 4iy Solving 5i + 2x = -4 + 4iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4iy' to each side of the equation. 5i + -4iy + 2x = -4 + 4iy + -4iy Combine like terms: 4iy + -4iy = 0 5i + -4iy + 2x = -4 + 0 5i + -4iy + 2x = -4 Add '-2x' to each side of the equation. 5i + -4iy + 2x + -2x = -4 + -2x Combine like terms: 2x + -2x = 0 5i + -4iy + 0 = -4 + -2x 5i + -4iy = -4 + -2x Reorder the terms: 4 + 5i + -4iy + 2x = -4 + -2x + 4 + 2x Reorder the terms: 4 + 5i + -4iy + 2x = -4 + 4 + -2x + 2x Combine like terms: -4 + 4 = 0 4 + 5i + -4iy + 2x = 0 + -2x + 2x 4 + 5i + -4iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 4 + 5i + -4iy + 2x = 0 The solution to this equation could not be determined.
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