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Simplifying 0.5(x + 1) + -1 = 0 Reorder the terms: 0.5(1 + x) + -1 = 0 (1 * 0.5 + x * 0.5) + -1 = 0 (0.5 + 0.5x) + -1 = 0 Reorder the terms: 0.5 + -1 + 0.5x = 0 Combine like terms: 0.5 + -1 = -0.5 -0.5 + 0.5x = 0 Solving -0.5 + 0.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.5x = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.5x = 0 + 0.5 0.5x = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 0.5x = 0.5 Divide each side by '0.5'. x = 1 Simplifying x = 1
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