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Simplifying 0.5x + 0.6 + -0.5 = 0.8x + -0.4 Reorder the terms: 0.6 + -0.5 + 0.5x = 0.8x + -0.4 Combine like terms: 0.6 + -0.5 = 0.1 0.1 + 0.5x = 0.8x + -0.4 Reorder the terms: 0.1 + 0.5x = -0.4 + 0.8x Solving 0.1 + 0.5x = -0.4 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 0.1 + 0.5x + -0.8x = -0.4 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x 0.1 + -0.3x = -0.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.1 + -0.3x = -0.4 + 0.0 0.1 + -0.3x = -0.4 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.3x = -0.4 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.3x = -0.4 + -0.1 -0.3x = -0.4 + -0.1 Combine like terms: -0.4 + -0.1 = -0.5 -0.3x = -0.5 Divide each side by '-0.3'. x = 1.666666667 Simplifying x = 1.666666667
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