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Simplifying 0.5x + -2.5 = 77.5 + -0.3x Reorder the terms: -2.5 + 0.5x = 77.5 + -0.3x Solving -2.5 + 0.5x = 77.5 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. -2.5 + 0.5x + 0.3x = 77.5 + -0.3x + 0.3x Combine like terms: 0.5x + 0.3x = 0.8x -2.5 + 0.8x = 77.5 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -2.5 + 0.8x = 77.5 + 0.0 -2.5 + 0.8x = 77.5 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.8x = 77.5 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.8x = 77.5 + 2.5 0.8x = 77.5 + 2.5 Combine like terms: 77.5 + 2.5 = 80 0.8x = 80 Divide each side by '0.8'. x = 100 Simplifying x = 100
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