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Simplifying (5 + -1x) + -4i = i Remove parenthesis around (5 + -1x) 5 + -1x + -4i = i Reorder the terms: 5 + -4i + -1x = i Solving 5 + -4i + -1x = i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 5 + -4i + -1i + -1x = i + -1i Combine like terms: -4i + -1i = -5i 5 + -5i + -1x = i + -1i Combine like terms: i + -1i = 0 5 + -5i + -1x = 0 Add '-5' to each side of the equation. 5 + -5i + -5 + -1x = 0 + -5 Reorder the terms: 5 + -5 + -5i + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5i + -1x = 0 + -5 -5i + -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -5i + -1x = -5 Add 'x' to each side of the equation. -5i + -1x + x = -5 + x Combine like terms: -1x + x = 0 -5i + 0 = -5 + x -5i = -5 + x Divide each side by '-5'. i = 1 + -0.2x Simplifying i = 1 + -0.2x
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