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Simplifying 2(2x + -1i) + -4x + -6x = 0 Reorder the terms: 2(-1i + 2x) + -4x + -6x = 0 (-1i * 2 + 2x * 2) + -4x + -6x = 0 (-2i + 4x) + -4x + -6x = 0 Combine like terms: 4x + -4x = 0 -2i + 0 + -6x = 0 -2i + -6x = 0 Solving -2i + -6x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6x' to each side of the equation. -2i + -6x + 6x = 0 + 6x Combine like terms: -6x + 6x = 0 -2i + 0 = 0 + 6x -2i = 0 + 6x Remove the zero: -2i = 6x Divide each side by '-2'. i = -3x Simplifying i = -3x
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