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