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Simplifying (i) * 6x + -9 + -2(1 + -1x) = x + 9 Reorder the terms for easier multiplication: 6i * x + -9 + -2(1 + -1x) = x + 9 Multiply i * x 6ix + -9 + -2(1 + -1x) = x + 9 6ix + -9 + (1 * -2 + -1x * -2) = x + 9 6ix + -9 + (-2 + 2x) = x + 9 Reorder the terms: -9 + -2 + 6ix + 2x = x + 9 Combine like terms: -9 + -2 = -11 -11 + 6ix + 2x = x + 9 Reorder the terms: -11 + 6ix + 2x = 9 + x Solving -11 + 6ix + 2x = 9 + x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 6ix + 11 + 2x = 9 + 11 + x Reorder the terms: -11 + 11 + 6ix + 2x = 9 + 11 + x Combine like terms: -11 + 11 = 0 0 + 6ix + 2x = 9 + 11 + x 6ix + 2x = 9 + 11 + x Combine like terms: 9 + 11 = 20 6ix + 2x = 20 + x Add '-2x' to each side of the equation. 6ix + 2x + -2x = 20 + x + -2x Combine like terms: 2x + -2x = 0 6ix + 0 = 20 + x + -2x 6ix = 20 + x + -2x Combine like terms: x + -2x = -1x 6ix = 20 + -1x Divide each side by '6x'. i = 3.333333333x-1 + -0.1666666667 Simplifying i = 3.333333333x-1 + -0.1666666667 Reorder the terms: i = -0.1666666667 + 3.333333333x-1
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