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Simplifying 0.6x + -0.5 = 0.3 + 0.83x Reorder the terms: -0.5 + 0.6x = 0.3 + 0.83x Solving -0.5 + 0.6x = 0.3 + 0.83x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.83x' to each side of the equation. -0.5 + 0.6x + -0.83x = 0.3 + 0.83x + -0.83x Combine like terms: 0.6x + -0.83x = -0.23x -0.5 + -0.23x = 0.3 + 0.83x + -0.83x Combine like terms: 0.83x + -0.83x = 0.00 -0.5 + -0.23x = 0.3 + 0.00 -0.5 + -0.23x = 0.3 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.23x = 0.3 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.23x = 0.3 + 0.5 -0.23x = 0.3 + 0.5 Combine like terms: 0.3 + 0.5 = 0.8 -0.23x = 0.8 Divide each side by '-0.23'. x = -3.47826087 Simplifying x = -3.47826087
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