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Simplifying 0.4x + 0.333 = 0.4 + -0.6x + 0.4 Reorder the terms: 0.333 + 0.4x = 0.4 + -0.6x + 0.4 Reorder the terms: 0.333 + 0.4x = 0.4 + 0.4 + -0.6x Combine like terms: 0.4 + 0.4 = 0.8 0.333 + 0.4x = 0.8 + -0.6x Solving 0.333 + 0.4x = 0.8 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 0.333 + 0.4x + 0.6x = 0.8 + -0.6x + 0.6x Combine like terms: 0.4x + 0.6x = 1x 0.333 + 1x = 0.8 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 0.333 + 1x = 0.8 + 0.0 0.333 + 1x = 0.8 Add '-0.333' to each side of the equation. 0.333 + -0.333 + 1x = 0.8 + -0.333 Combine like terms: 0.333 + -0.333 = 0.000 0.000 + 1x = 0.8 + -0.333 1x = 0.8 + -0.333 Combine like terms: 0.8 + -0.333 = 0.467 1x = 0.467 Divide each side by '1'. x = 0.467 Simplifying x = 0.467
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