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Simplifying 2x + -1yi = (5 + -1i) * 2 Reorder the terms: -1iy + 2x = (5 + -1i) * 2 Reorder the terms for easier multiplication: -1iy + 2x = 2(5 + -1i) -1iy + 2x = (5 * 2 + -1i * 2) -1iy + 2x = (10 + -2i) Solving -1iy + 2x = 10 + -2i 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. -1iy + 2i + 2x = 10 + -2i + 2i Reorder the terms: 2i + -1iy + 2x = 10 + -2i + 2i Combine like terms: -2i + 2i = 0 2i + -1iy + 2x = 10 + 0 2i + -1iy + 2x = 10 Add '-2x' to each side of the equation. 2i + -1iy + 2x + -2x = 10 + -2x Combine like terms: 2x + -2x = 0 2i + -1iy + 0 = 10 + -2x 2i + -1iy = 10 + -2x Reorder the terms: -10 + 2i + -1iy + 2x = 10 + -2x + -10 + 2x Reorder the terms: -10 + 2i + -1iy + 2x = 10 + -10 + -2x + 2x Combine like terms: 10 + -10 = 0 -10 + 2i + -1iy + 2x = 0 + -2x + 2x -10 + 2i + -1iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 2i + -1iy + 2x = 0 The solution to this equation could not be determined.
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