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Simplifying 7 + -5i = 10 + -1(6x + 7) Reorder the terms: 7 + -5i = 10 + -1(7 + 6x) 7 + -5i = 10 + (7 * -1 + 6x * -1) 7 + -5i = 10 + (-7 + -6x) Combine like terms: 10 + -7 = 3 7 + -5i = 3 + -6x Solving 7 + -5i = 3 + -6x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5i = 3 + -7 + -6x Combine like terms: 7 + -7 = 0 0 + -5i = 3 + -7 + -6x -5i = 3 + -7 + -6x Combine like terms: 3 + -7 = -4 -5i = -4 + -6x Divide each side by '-5'. i = 0.8 + 1.2x Simplifying i = 0.8 + 1.2x
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