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Simplifying (-4x + 3i) + -1(-6x + -1i) = 0 Reorder the terms: (3i + -4x) + -1(-6x + -1i) = 0 Remove parenthesis around (3i + -4x) 3i + -4x + -1(-6x + -1i) = 0 Reorder the terms: 3i + -4x + -1(-1i + -6x) = 0 3i + -4x + (-1i * -1 + -6x * -1) = 0 3i + -4x + (1i + 6x) = 0 Reorder the terms: 3i + 1i + -4x + 6x = 0 Combine like terms: 3i + 1i = 4i 4i + -4x + 6x = 0 Combine like terms: -4x + 6x = 2x 4i + 2x = 0 Solving 4i + 2x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2x' to each side of the equation. 4i + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 4i + 0 = 0 + -2x 4i = 0 + -2x Remove the zero: 4i = -2x Divide each side by '4'. i = -0.5x Simplifying i = -0.5x
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