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Simplifying x + -1(0.5x + 1) = 30 Reorder the terms: x + -1(1 + 0.5x) = 30 x + (1 * -1 + 0.5x * -1) = 30 x + (-1 + -0.5x) = 30 Reorder the terms: -1 + x + -0.5x = 30 Combine like terms: x + -0.5x = 0.5x -1 + 0.5x = 30 Solving -1 + 0.5x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 0.5x = 30 + 1 Combine like terms: -1 + 1 = 0 0 + 0.5x = 30 + 1 0.5x = 30 + 1 Combine like terms: 30 + 1 = 31 0.5x = 31 Divide each side by '0.5'. x = 62 Simplifying x = 62
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