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Simplifying 0.5x + 1 = 0.8x Reorder the terms: 1 + 0.5x = 0.8x Solving 1 + 0.5x = 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. 1 + 0.5x + -0.8x = 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x 1 + -0.3x = 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 1 + -0.3x = 0.0 Add '-1' to each side of the equation. 1 + -1 + -0.3x = 0.0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.3x = 0.0 + -1 -0.3x = 0.0 + -1 Combine like terms: 0.0 + -1 = -1 -0.3x = -1 Divide each side by '-0.3'. x = 3.333333333 Simplifying x = 3.333333333
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