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Simplifying (2x + -4) + -3i = 10 + -6yi Reorder the terms: (-4 + 2x) + -3i = 10 + -6yi Remove parenthesis around (-4 + 2x) -4 + 2x + -3i = 10 + -6yi Reorder the terms: -4 + -3i + 2x = 10 + -6yi Solving -4 + -3i + 2x = 10 + -6iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6iy' to each side of the equation. -4 + -3i + 6iy + 2x = 10 + -6iy + 6iy Combine like terms: -6iy + 6iy = 0 -4 + -3i + 6iy + 2x = 10 + 0 -4 + -3i + 6iy + 2x = 10 Add '4' to each side of the equation. -4 + -3i + 6iy + 4 + 2x = 10 + 4 Reorder the terms: -4 + 4 + -3i + 6iy + 2x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -3i + 6iy + 2x = 10 + 4 -3i + 6iy + 2x = 10 + 4 Combine like terms: 10 + 4 = 14 -3i + 6iy + 2x = 14 Add '-2x' to each side of the equation. -3i + 6iy + 2x + -2x = 14 + -2x Combine like terms: 2x + -2x = 0 -3i + 6iy + 0 = 14 + -2x -3i + 6iy = 14 + -2x Reorder the terms: -14 + -3i + 6iy + 2x = 14 + -2x + -14 + 2x Reorder the terms: -14 + -3i + 6iy + 2x = 14 + -14 + -2x + 2x Combine like terms: 14 + -14 = 0 -14 + -3i + 6iy + 2x = 0 + -2x + 2x -14 + -3i + 6iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -14 + -3i + 6iy + 2x = 0 The solution to this equation could not be determined.
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