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Simplifying x3 + 7x + 6i = 0 Reorder the terms: 6i + 7x + x3 = 0 Solving 6i + 7x + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7x' to each side of the equation. 6i + 7x + -7x + x3 = 0 + -7x Combine like terms: 7x + -7x = 0 6i + 0 + x3 = 0 + -7x 6i + x3 = 0 + -7x Remove the zero: 6i + x3 = -7x Add '-1x3' to each side of the equation. 6i + x3 + -1x3 = -7x + -1x3 Combine like terms: x3 + -1x3 = 0 6i + 0 = -7x + -1x3 6i = -7x + -1x3 Divide each side by '6'. i = -1.166666667x + -0.1666666667x3 Simplifying i = -1.166666667x + -0.1666666667x3
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