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Simplifying 0.1428(x + 5) + -0.4285 = 0.50(x + 3) Reorder the terms: 0.1428(5 + x) + -0.4285 = 0.50(x + 3) (5 * 0.1428 + x * 0.1428) + -0.4285 = 0.50(x + 3) (0.714 + 0.1428x) + -0.4285 = 0.50(x + 3) Reorder the terms: 0.714 + -0.4285 + 0.1428x = 0.50(x + 3) Combine like terms: 0.714 + -0.4285 = 0.2855 0.2855 + 0.1428x = 0.50(x + 3) Reorder the terms: 0.2855 + 0.1428x = 0.50(3 + x) 0.2855 + 0.1428x = (3 * 0.50 + x * 0.50) 0.2855 + 0.1428x = (1.5 + 0.50x) Solving 0.2855 + 0.1428x = 1.5 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 0.2855 + 0.1428x + -0.50x = 1.5 + 0.50x + -0.50x Combine like terms: 0.1428x + -0.50x = -0.3572x 0.2855 + -0.3572x = 1.5 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 0.2855 + -0.3572x = 1.5 + 0.00 0.2855 + -0.3572x = 1.5 Add '-0.2855' to each side of the equation. 0.2855 + -0.2855 + -0.3572x = 1.5 + -0.2855 Combine like terms: 0.2855 + -0.2855 = 0.0000 0.0000 + -0.3572x = 1.5 + -0.2855 -0.3572x = 1.5 + -0.2855 Combine like terms: 1.5 + -0.2855 = 1.2145 -0.3572x = 1.2145 Divide each side by '-0.3572'. x = -3.400055991 Simplifying x = -3.400055991
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