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Simplifying 20x + (-20)(1 + -1x) = -15x + 30(1 + -1x) 20x + (1 * -20 + -1x * -20) = -15x + 30(1 + -1x) 20x + (-20 + 20x) = -15x + 30(1 + -1x) Reorder the terms: -20 + 20x + 20x = -15x + 30(1 + -1x) Combine like terms: 20x + 20x = 40x -20 + 40x = -15x + 30(1 + -1x) -20 + 40x = -15x + (1 * 30 + -1x * 30) -20 + 40x = -15x + (30 + -30x) Reorder the terms: -20 + 40x = 30 + -15x + -30x Combine like terms: -15x + -30x = -45x -20 + 40x = 30 + -45x Solving -20 + 40x = 30 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. -20 + 40x + 45x = 30 + -45x + 45x Combine like terms: 40x + 45x = 85x -20 + 85x = 30 + -45x + 45x Combine like terms: -45x + 45x = 0 -20 + 85x = 30 + 0 -20 + 85x = 30 Add '20' to each side of the equation. -20 + 20 + 85x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 85x = 30 + 20 85x = 30 + 20 Combine like terms: 30 + 20 = 50 85x = 50 Divide each side by '85'. x = 0.5882352941 Simplifying x = 0.5882352941
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