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Simplifying x = 80 + 0.4(x + -1(50 + 0.2x) + 75) + 50 + 75 x = 80 + 0.4(x + (50 * -1 + 0.2x * -1) + 75) + 50 + 75 x = 80 + 0.4(x + (-50 + -0.2x) + 75) + 50 + 75 Reorder the terms: x = 80 + 0.4(-50 + 75 + x + -0.2x) + 50 + 75 Combine like terms: -50 + 75 = 25 x = 80 + 0.4(25 + x + -0.2x) + 50 + 75 Combine like terms: x + -0.2x = 0.8x x = 80 + 0.4(25 + 0.8x) + 50 + 75 x = 80 + (25 * 0.4 + 0.8x * 0.4) + 50 + 75 x = 80 + (10 + 0.32x) + 50 + 75 Reorder the terms: x = 80 + 10 + 50 + 75 + 0.32x Combine like terms: 80 + 10 = 90 x = 90 + 50 + 75 + 0.32x Combine like terms: 90 + 50 = 140 x = 140 + 75 + 0.32x Combine like terms: 140 + 75 = 215 x = 215 + 0.32x Solving x = 215 + 0.32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.32x' to each side of the equation. x + -0.32x = 215 + 0.32x + -0.32x Combine like terms: x + -0.32x = 0.68x 0.68x = 215 + 0.32x + -0.32x Combine like terms: 0.32x + -0.32x = 0.00 0.68x = 215 + 0.00 0.68x = 215 Divide each side by '0.68'. x = 316.1764706 Simplifying x = 316.1764706
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