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Simplifying 0.5(x + 1) + 1 = 0.2 Reorder the terms: 0.5(1 + x) + 1 = 0.2 (1 * 0.5 + x * 0.5) + 1 = 0.2 (0.5 + 0.5x) + 1 = 0.2 Reorder the terms: 0.5 + 1 + 0.5x = 0.2 Combine like terms: 0.5 + 1 = 1.5 1.5 + 0.5x = 0.2 Solving 1.5 + 0.5x = 0.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.5x = 0.2 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5x = 0.2 + -1.5 0.5x = 0.2 + -1.5 Combine like terms: 0.2 + -1.5 = -1.3 0.5x = -1.3 Divide each side by '0.5'. x = -2.6 Simplifying x = -2.6
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