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Simplifying 4x + 2 + -1y = yi + -12i Reorder the terms: 2 + 4x + -1y = yi + -12i Reorder the terms: 2 + 4x + -1y = -12i + iy Solving 2 + 4x + -1y = -12i + iy 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 + 4x + -2 + -1y = -12i + -2 + iy Reorder the terms: 2 + -2 + 4x + -1y = -12i + -2 + iy Combine like terms: 2 + -2 = 0 0 + 4x + -1y = -12i + -2 + iy 4x + -1y = -12i + -2 + iy Reorder the terms: 4x + -1y = -2 + -12i + iy Add 'y' to each side of the equation. 4x + -1y + y = -2 + -12i + iy + y Combine like terms: -1y + y = 0 4x + 0 = -2 + -12i + iy + y 4x = -2 + -12i + iy + y Divide each side by '4'. x = -0.5 + -3i + 0.25iy + 0.25y Simplifying x = -0.5 + -3i + 0.25iy + 0.25y
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