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Simplifying 0.8x + 1 = -0.5x + 0.25 Reorder the terms: 1 + 0.8x = -0.5x + 0.25 Reorder the terms: 1 + 0.8x = 0.25 + -0.5x Solving 1 + 0.8x = 0.25 + -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. 1 + 0.8x + 0.5x = 0.25 + -0.5x + 0.5x Combine like terms: 0.8x + 0.5x = 1.3x 1 + 1.3x = 0.25 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 1 + 1.3x = 0.25 + 0.0 1 + 1.3x = 0.25 Add '-1' to each side of the equation. 1 + -1 + 1.3x = 0.25 + -1 Combine like terms: 1 + -1 = 0 0 + 1.3x = 0.25 + -1 1.3x = 0.25 + -1 Combine like terms: 0.25 + -1 = -0.75 1.3x = -0.75 Divide each side by '1.3'. x = -0.5769230769 Simplifying x = -0.5769230769
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