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Simplifying 0.5x + -0.1 = 0.4x + 4 Reorder the terms: -0.1 + 0.5x = 0.4x + 4 Reorder the terms: -0.1 + 0.5x = 4 + 0.4x Solving -0.1 + 0.5x = 4 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -0.1 + 0.5x + -0.4x = 4 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x -0.1 + 0.1x = 4 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.1 + 0.1x = 4 + 0.0 -0.1 + 0.1x = 4 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.1x = 4 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.1x = 4 + 0.1 0.1x = 4 + 0.1 Combine like terms: 4 + 0.1 = 4.1 0.1x = 4.1 Divide each side by '0.1'. x = 41 Simplifying x = 41
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