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Simplifying 0.3x + 0.4 = 0.5x + -0.8 Reorder the terms: 0.4 + 0.3x = 0.5x + -0.8 Reorder the terms: 0.4 + 0.3x = -0.8 + 0.5x Solving 0.4 + 0.3x = -0.8 + 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 + 0.3x + -0.5x = -0.8 + 0.5x + -0.5x Combine like terms: 0.3x + -0.5x = -0.2x 0.4 + -0.2x = -0.8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.4 + -0.2x = -0.8 + 0.0 0.4 + -0.2x = -0.8 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.2x = -0.8 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.2x = -0.8 + -0.4 -0.2x = -0.8 + -0.4 Combine like terms: -0.8 + -0.4 = -1.2 -0.2x = -1.2 Divide each side by '-0.2'. x = 6 Simplifying x = 6
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