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Simplifying 0.5x + 26 = 0.8x + -1 Reorder the terms: 26 + 0.5x = 0.8x + -1 Reorder the terms: 26 + 0.5x = -1 + 0.8x Solving 26 + 0.5x = -1 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 26 + 0.5x + -0.8x = -1 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x 26 + -0.3x = -1 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 26 + -0.3x = -1 + 0.0 26 + -0.3x = -1 Add '-26' to each side of the equation. 26 + -26 + -0.3x = -1 + -26 Combine like terms: 26 + -26 = 0 0 + -0.3x = -1 + -26 -0.3x = -1 + -26 Combine like terms: -1 + -26 = -27 -0.3x = -27 Divide each side by '-0.3'. x = 90 Simplifying x = 90
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