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Simplifying 5x + 0.4 = 3x + -0.2 Reorder the terms: 0.4 + 5x = 3x + -0.2 Reorder the terms: 0.4 + 5x = -0.2 + 3x Solving 0.4 + 5x = -0.2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 0.4 + 5x + -3x = -0.2 + 3x + -3x Combine like terms: 5x + -3x = 2x 0.4 + 2x = -0.2 + 3x + -3x Combine like terms: 3x + -3x = 0 0.4 + 2x = -0.2 + 0 0.4 + 2x = -0.2 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 2x = -0.2 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 2x = -0.2 + -0.4 2x = -0.2 + -0.4 Combine like terms: -0.2 + -0.4 = -0.6 2x = -0.6 Divide each side by '2'. x = -0.3 Simplifying x = -0.3
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