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Simplifying 0.8x + -0.5 = x + 1 + -0.5x Reorder the terms: -0.5 + 0.8x = x + 1 + -0.5x Reorder the terms: -0.5 + 0.8x = 1 + x + -0.5x Combine like terms: x + -0.5x = 0.5x -0.5 + 0.8x = 1 + 0.5x Solving -0.5 + 0.8x = 1 + 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. -0.5 + 0.8x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: 0.8x + -0.5x = 0.3x -0.5 + 0.3x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.5 + 0.3x = 1 + 0.0 -0.5 + 0.3x = 1 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.3x = 1 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.3x = 1 + 0.5 0.3x = 1 + 0.5 Combine like terms: 1 + 0.5 = 1.5 0.3x = 1.5 Divide each side by '0.3'. x = 5 Simplifying x = 5
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