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Simplifying 0.4 + 0.6x = 0.533 + 0.5x + 1.5 Reorder the terms: 0.4 + 0.6x = 0.533 + 1.5 + 0.5x Combine like terms: 0.533 + 1.5 = 2.033 0.4 + 0.6x = 2.033 + 0.5x Solving 0.4 + 0.6x = 2.033 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.4 + 0.6x + -0.5x = 2.033 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 0.4 + 0.1x = 2.033 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.4 + 0.1x = 2.033 + 0.0 0.4 + 0.1x = 2.033 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.1x = 2.033 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.1x = 2.033 + -0.4 0.1x = 2.033 + -0.4 Combine like terms: 2.033 + -0.4 = 1.633 0.1x = 1.633 Divide each side by '0.1'. x = 16.33 Simplifying x = 16.33
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