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Simplifying 0.2857(x + y) + -0.1428(x + -1) = 0 (x * 0.2857 + y * 0.2857) + -0.1428(x + -1) = 0 (0.2857x + 0.2857y) + -0.1428(x + -1) = 0 Reorder the terms: 0.2857x + 0.2857y + -0.1428(-1 + x) = 0 0.2857x + 0.2857y + (-1 * -0.1428 + x * -0.1428) = 0 0.2857x + 0.2857y + (0.1428 + -0.1428x) = 0 Reorder the terms: 0.1428 + 0.2857x + -0.1428x + 0.2857y = 0 Combine like terms: 0.2857x + -0.1428x = 0.1429x 0.1428 + 0.1429x + 0.2857y = 0 Solving 0.1428 + 0.1429x + 0.2857y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1428' to each side of the equation. 0.1428 + 0.1429x + -0.1428 + 0.2857y = 0 + -0.1428 Reorder the terms: 0.1428 + -0.1428 + 0.1429x + 0.2857y = 0 + -0.1428 Combine like terms: 0.1428 + -0.1428 = 0.0000 0.0000 + 0.1429x + 0.2857y = 0 + -0.1428 0.1429x + 0.2857y = 0 + -0.1428 Combine like terms: 0 + -0.1428 = -0.1428 0.1429x + 0.2857y = -0.1428 Add '-0.2857y' to each side of the equation. 0.1429x + 0.2857y + -0.2857y = -0.1428 + -0.2857y Combine like terms: 0.2857y + -0.2857y = 0.0000 0.1429x + 0.0000 = -0.1428 + -0.2857y 0.1429x = -0.1428 + -0.2857y Divide each side by '0.1429'. x = -0.9993002099 + -1.99930021y Simplifying x = -0.9993002099 + -1.99930021y
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