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Simplifying x + 3i(4 + -1) = 7 + -5i Combine like terms: 4 + -1 = 3 x + 3i(3) = 7 + -5i Reorder the terms for easier multiplication: x + 3 * 3i = 7 + -5i Multiply 3 * 3 x + 9i = 7 + -5i Reorder the terms: 9i + x = 7 + -5i Solving 9i + x = 7 + -5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5i' to each side of the equation. 9i + 5i + x = 7 + -5i + 5i Combine like terms: 9i + 5i = 14i 14i + x = 7 + -5i + 5i Combine like terms: -5i + 5i = 0 14i + x = 7 + 0 14i + x = 7 Add '-1x' to each side of the equation. 14i + x + -1x = 7 + -1x Combine like terms: x + -1x = 0 14i + 0 = 7 + -1x 14i = 7 + -1x Divide each side by '14'. i = 0.5 + -0.07142857143x Simplifying i = 0.5 + -0.07142857143x
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