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Simplifying 0.4x + -0.25 = 0.5x + 0.75 Reorder the terms: -0.25 + 0.4x = 0.5x + 0.75 Reorder the terms: -0.25 + 0.4x = 0.75 + 0.5x Solving -0.25 + 0.4x = 0.75 + 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. -0.25 + 0.4x + -0.5x = 0.75 + 0.5x + -0.5x Combine like terms: 0.4x + -0.5x = -0.1x -0.25 + -0.1x = 0.75 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.25 + -0.1x = 0.75 + 0.0 -0.25 + -0.1x = 0.75 Add '0.25' to each side of the equation. -0.25 + 0.25 + -0.1x = 0.75 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -0.1x = 0.75 + 0.25 -0.1x = 0.75 + 0.25 Combine like terms: 0.75 + 0.25 = 1 -0.1x = 1 Divide each side by '-0.1'. x = -10 Simplifying x = -10
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