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Simplifying 0.5(x + 1) + 0.25 = 0.6 + -0.16 + 0.75 Reorder the terms: 0.5(1 + x) + 0.25 = 0.6 + -0.16 + 0.75 (1 * 0.5 + x * 0.5) + 0.25 = 0.6 + -0.16 + 0.75 (0.5 + 0.5x) + 0.25 = 0.6 + -0.16 + 0.75 Reorder the terms: 0.5 + 0.25 + 0.5x = 0.6 + -0.16 + 0.75 Combine like terms: 0.5 + 0.25 = 0.75 0.75 + 0.5x = 0.6 + -0.16 + 0.75 Combine like terms: 0.6 + -0.16 = 0.44 0.75 + 0.5x = 0.44 + 0.75 Combine like terms: 0.44 + 0.75 = 1.19 0.75 + 0.5x = 1.19 Solving 0.75 + 0.5x = 1.19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + 0.5x = 1.19 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.5x = 1.19 + -0.75 0.5x = 1.19 + -0.75 Combine like terms: 1.19 + -0.75 = 0.44 0.5x = 0.44 Divide each side by '0.5'. x = 0.88 Simplifying x = 0.88
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