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Simplifying 7x + -4(6 + -1x) + 12ifx = 7 7x + (6 * -4 + -1x * -4) + 12ifx = 7 7x + (-24 + 4x) + 12ifx = 7 Reorder the terms: -24 + 12fix + 7x + 4x = 7 Combine like terms: 7x + 4x = 11x -24 + 12fix + 11x = 7 Solving -24 + 12fix + 11x = 7 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 12fix + 24 + 11x = 7 + 24 Reorder the terms: -24 + 24 + 12fix + 11x = 7 + 24 Combine like terms: -24 + 24 = 0 0 + 12fix + 11x = 7 + 24 12fix + 11x = 7 + 24 Combine like terms: 7 + 24 = 31 12fix + 11x = 31 Add '-11x' to each side of the equation. 12fix + 11x + -11x = 31 + -11x Combine like terms: 11x + -11x = 0 12fix + 0 = 31 + -11x 12fix = 31 + -11x Divide each side by '12ix'. f = 2.583333333i-1x-1 + -0.9166666667i-1 Simplifying f = 2.583333333i-1x-1 + -0.9166666667i-1 Reorder the terms: f = -0.9166666667i-1 + 2.583333333i-1x-1
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