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Simplifying 0.5x + 1 = 0.2x Reorder the terms: 1 + 0.5x = 0.2x Solving 1 + 0.5x = 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 1 + 0.5x + -0.2x = 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x 1 + 0.3x = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 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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