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Simplifying 10(20 + -1x) + 5x + -1(10x + 5(20 + -1x)) = 30 (20 * 10 + -1x * 10) + 5x + -1(10x + 5(20 + -1x)) = 30 (200 + -10x) + 5x + -1(10x + 5(20 + -1x)) = 30 200 + -10x + 5x + -1(10x + (20 * 5 + -1x * 5)) = 30 200 + -10x + 5x + -1(10x + (100 + -5x)) = 30 Reorder the terms: 200 + -10x + 5x + -1(100 + 10x + -5x) = 30 Combine like terms: 10x + -5x = 5x 200 + -10x + 5x + -1(100 + 5x) = 30 200 + -10x + 5x + (100 * -1 + 5x * -1) = 30 200 + -10x + 5x + (-100 + -5x) = 30 Reorder the terms: 200 + -100 + -10x + 5x + -5x = 30 Combine like terms: 200 + -100 = 100 100 + -10x + 5x + -5x = 30 Combine like terms: -10x + 5x = -5x 100 + -5x + -5x = 30 Combine like terms: -5x + -5x = -10x 100 + -10x = 30 Solving 100 + -10x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -10x = 30 + -100 Combine like terms: 100 + -100 = 0 0 + -10x = 30 + -100 -10x = 30 + -100 Combine like terms: 30 + -100 = -70 -10x = -70 Divide each side by '-10'. x = 7 Simplifying x = 7
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