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Simplifying 4x + -1(5 + i) = 9 + i 4x + (5 * -1 + i * -1) = 9 + i 4x + (-5 + -1i) = 9 + i Reorder the terms: -5 + -1i + 4x = 9 + i Solving -5 + -1i + 4x = 9 + 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 + -1i + -1i + 4x = 9 + i + -1i Combine like terms: -1i + -1i = -2i -5 + -2i + 4x = 9 + i + -1i Combine like terms: i + -1i = 0 -5 + -2i + 4x = 9 + 0 -5 + -2i + 4x = 9 Add '5' to each side of the equation. -5 + -2i + 5 + 4x = 9 + 5 Reorder the terms: -5 + 5 + -2i + 4x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -2i + 4x = 9 + 5 -2i + 4x = 9 + 5 Combine like terms: 9 + 5 = 14 -2i + 4x = 14 Add '-4x' to each side of the equation. -2i + 4x + -4x = 14 + -4x Combine like terms: 4x + -4x = 0 -2i + 0 = 14 + -4x -2i = 14 + -4x Divide each side by '-2'. i = -7 + 2x Simplifying i = -7 + 2x
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