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Simplifying 4x + 0.2 = 5x + 0.4 Reorder the terms: 0.2 + 4x = 5x + 0.4 Reorder the terms: 0.2 + 4x = 0.4 + 5x Solving 0.2 + 4x = 0.4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.2 + 4x + -5x = 0.4 + 5x + -5x Combine like terms: 4x + -5x = -1x 0.2 + -1x = 0.4 + 5x + -5x Combine like terms: 5x + -5x = 0 0.2 + -1x = 0.4 + 0 0.2 + -1x = 0.4 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -1x = 0.4 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -1x = 0.4 + -0.2 -1x = 0.4 + -0.2 Combine like terms: 0.4 + -0.2 = 0.2 -1x = 0.2 Divide each side by '-1'. x = -0.2 Simplifying x = -0.2
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