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Simplifying 10(3x + i) = 2(10x + -5) Reorder the terms: 10(i + 3x) = 2(10x + -5) (i * 10 + 3x * 10) = 2(10x + -5) (10i + 30x) = 2(10x + -5) Reorder the terms: 10i + 30x = 2(-5 + 10x) 10i + 30x = (-5 * 2 + 10x * 2) 10i + 30x = (-10 + 20x) Solving 10i + 30x = -10 + 20x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-30x' to each side of the equation. 10i + 30x + -30x = -10 + 20x + -30x Combine like terms: 30x + -30x = 0 10i + 0 = -10 + 20x + -30x 10i = -10 + 20x + -30x Combine like terms: 20x + -30x = -10x 10i = -10 + -10x Divide each side by '10'. i = -1 + -1x Simplifying i = -1 + -1x
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