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Simplifying 0.4x + 0.5 = 0.5x + -0.3 Reorder the terms: 0.5 + 0.4x = 0.5x + -0.3 Reorder the terms: 0.5 + 0.4x = -0.3 + 0.5x Solving 0.5 + 0.4x = -0.3 + 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. 0.5 + 0.4x + -0.5x = -0.3 + 0.5x + -0.5x Combine like terms: 0.4x + -0.5x = -0.1x 0.5 + -0.1x = -0.3 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.5 + -0.1x = -0.3 + 0.0 0.5 + -0.1x = -0.3 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.1x = -0.3 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.1x = -0.3 + -0.5 -0.1x = -0.3 + -0.5 Combine like terms: -0.3 + -0.5 = -0.8 -0.1x = -0.8 Divide each side by '-0.1'. x = 8 Simplifying x = 8
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