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Simplifying x * 1 + -1(100 + -1x) * 0.5 = 0 Reorder the terms for easier multiplication: 1x + -1(100 + -1x) * 0.5 = 0 Reorder the terms for easier multiplication: 1x + -1 * 0.5(100 + -1x) = 0 Multiply -1 * 0.5 1x + -0.5(100 + -1x) = 0 1x + (100 * -0.5 + -1x * -0.5) = 0 1x + (-50 + 0.5x) = 0 Reorder the terms: -50 + 1x + 0.5x = 0 Combine like terms: 1x + 0.5x = 1.5x -50 + 1.5x = 0 Solving -50 + 1.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 1.5x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 1.5x = 0 + 50 1.5x = 0 + 50 Combine like terms: 0 + 50 = 50 1.5x = 50 Divide each side by '1.5'. x = 33.33333333 Simplifying x = 33.33333333
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