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Simplifying 0.85714x + 0.5 = 0.666 + -0.1428x Reorder the terms: 0.5 + 0.85714x = 0.666 + -0.1428x Solving 0.5 + 0.85714x = 0.666 + -0.1428x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1428x' to each side of the equation. 0.5 + 0.85714x + 0.1428x = 0.666 + -0.1428x + 0.1428x Combine like terms: 0.85714x + 0.1428x = 0.99994x 0.5 + 0.99994x = 0.666 + -0.1428x + 0.1428x Combine like terms: -0.1428x + 0.1428x = 0.0000 0.5 + 0.99994x = 0.666 + 0.0000 0.5 + 0.99994x = 0.666 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.99994x = 0.666 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.99994x = 0.666 + -0.5 0.99994x = 0.666 + -0.5 Combine like terms: 0.666 + -0.5 = 0.166 0.99994x = 0.166 Divide each side by '0.99994'. x = 0.1660099606 Simplifying x = 0.1660099606
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