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Simplifying 0.3333x + -6 = 0.1429x + 2 Reorder the terms: -6 + 0.3333x = 0.1429x + 2 Reorder the terms: -6 + 0.3333x = 2 + 0.1429x Solving -6 + 0.3333x = 2 + 0.1429x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1429x' to each side of the equation. -6 + 0.3333x + -0.1429x = 2 + 0.1429x + -0.1429x Combine like terms: 0.3333x + -0.1429x = 0.1904x -6 + 0.1904x = 2 + 0.1429x + -0.1429x Combine like terms: 0.1429x + -0.1429x = 0.0000 -6 + 0.1904x = 2 + 0.0000 -6 + 0.1904x = 2 Add '6' to each side of the equation. -6 + 6 + 0.1904x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 0.1904x = 2 + 6 0.1904x = 2 + 6 Combine like terms: 2 + 6 = 8 0.1904x = 8 Divide each side by '0.1904'. x = 42.01680672 Simplifying x = 42.01680672
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