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Simplifying 2(2 + -5i) + -1(i + 2) = 2x + yi (2 * 2 + -5i * 2) + -1(i + 2) = 2x + yi (4 + -10i) + -1(i + 2) = 2x + yi Reorder the terms: 4 + -10i + -1(2 + i) = 2x + yi 4 + -10i + (2 * -1 + i * -1) = 2x + yi 4 + -10i + (-2 + -1i) = 2x + yi Reorder the terms: 4 + -2 + -10i + -1i = 2x + yi Combine like terms: 4 + -2 = 2 2 + -10i + -1i = 2x + yi Combine like terms: -10i + -1i = -11i 2 + -11i = 2x + yi Reorder the terms: 2 + -11i = iy + 2x Solving 2 + -11i = iy + 2x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iy' to each side of the equation. 2 + -11i + -1iy = iy + -1iy + 2x Combine like terms: iy + -1iy = 0 2 + -11i + -1iy = 0 + 2x 2 + -11i + -1iy = 2x Add '-2' to each side of the equation. 2 + -11i + -2 + -1iy = -2 + 2x Reorder the terms: 2 + -2 + -11i + -1iy = -2 + 2x Combine like terms: 2 + -2 = 0 0 + -11i + -1iy = -2 + 2x -11i + -1iy = -2 + 2x Reorder the terms: 2 + -11i + -1iy + -2x = -2 + 2x + 2 + -2x Reorder the terms: 2 + -11i + -1iy + -2x = -2 + 2 + 2x + -2x Combine like terms: -2 + 2 = 0 2 + -11i + -1iy + -2x = 0 + 2x + -2x 2 + -11i + -1iy + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 2 + -11i + -1iy + -2x = 0 The solution to this equation could not be determined.
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