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Simplifying 10x + -7i = 3(3x + -7u) Reorder the terms: -7i + 10x = 3(3x + -7u) Reorder the terms: -7i + 10x = 3(-7u + 3x) -7i + 10x = (-7u * 3 + 3x * 3) -7i + 10x = (-21u + 9x) Solving -7i + 10x = -21u + 9x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10x' to each side of the equation. -7i + 10x + -10x = -21u + 9x + -10x Combine like terms: 10x + -10x = 0 -7i + 0 = -21u + 9x + -10x -7i = -21u + 9x + -10x Combine like terms: 9x + -10x = -1x -7i = -21u + -1x Divide each side by '-7'. i = 3u + 0.1428571429x Simplifying i = 3u + 0.1428571429x
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