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Simplifying (X + 4i + -2) = (2x + 2yi) Reorder the terms: (-2 + X + 4i) = (2x + 2yi) Remove parenthesis around (-2 + X + 4i) -2 + X + 4i = (2x + 2yi) Reorder the terms: -2 + X + 4i = (2iy + 2x) Remove parenthesis around (2iy + 2x) -2 + X + 4i = 2iy + 2x Solving -2 + X + 4i = 2iy + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + X + 2 + 4i = 2iy + 2 + 2x Reorder the terms: -2 + 2 + X + 4i = 2iy + 2 + 2x Combine like terms: -2 + 2 = 0 0 + X + 4i = 2iy + 2 + 2x X + 4i = 2iy + 2 + 2x Reorder the terms: X + 4i = 2 + 2iy + 2x Add '-4i' to each side of the equation. X + 4i + -4i = 2 + 2iy + -4i + 2x Combine like terms: 4i + -4i = 0 X + 0 = 2 + 2iy + -4i + 2x X = 2 + 2iy + -4i + 2x Reorder the terms: X = 2 + -4i + 2iy + 2x Simplifying X = 2 + -4i + 2iy + 2x
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