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Simplifying 9x + -7i = 3(3x + -7) Reorder the terms: -7i + 9x = 3(3x + -7) Reorder the terms: -7i + 9x = 3(-7 + 3x) -7i + 9x = (-7 * 3 + 3x * 3) -7i + 9x = (-21 + 9x) Add '-9x' to each side of the equation. -7i + 9x + -9x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 -7i + 0 = -21 + 9x + -9x -7i = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 -7i = -21 + 0 -7i = -21 Solving -7i = -21 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Divide each side by '-7'. i = 3 Simplifying i = 3
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