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Simplifying 0.4x = 1.3x + 0.5 Reorder the terms: 0.4x = 0.5 + 1.3x Solving 0.4x = 0.5 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. 0.4x + -1.3x = 0.5 + 1.3x + -1.3x Combine like terms: 0.4x + -1.3x = -0.9x -0.9x = 0.5 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -0.9x = 0.5 + 0.0 -0.9x = 0.5 Divide each side by '-0.9'. x = -0.5555555556 Simplifying x = -0.5555555556
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