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Simplifying -1[10x + -1(21x + 5)] = 5 + (10x + 0) Reorder the terms: -1[10x + -1(5 + 21x)] = 5 + (10x + 0) -1[10x + (5 * -1 + 21x * -1)] = 5 + (10x + 0) -1[10x + (-5 + -21x)] = 5 + (10x + 0) Reorder the terms: -1[-5 + 10x + -21x] = 5 + (10x + 0) Combine like terms: 10x + -21x = -11x -1[-5 + -11x] = 5 + (10x + 0) [-5 * -1 + -11x * -1] = 5 + (10x + 0) [5 + 11x] = 5 + (10x + 0) Reorder the terms: 5 + 11x = 5 + (0 + 10x) Remove the zero: 5 + 11x = 5 + (10x) 5 + 11x = 5 + (10x) Add '-5' to each side of the equation. 5 + -5 + 11x = 5 + -5 + (10x) Combine like terms: 5 + -5 = 0 0 + 11x = 5 + -5 + (10x) 11x = 5 + -5 + (10x) Combine like terms: 5 + -5 = 0 11x = 0 + (10x) 11x = (10x) Solving 11x = (10x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-10x)' to each side of the equation. 11x + (-10x) = (10x) + (-10x) Combine like terms: 11x + (-10x) = 1x 1x = (10x) + (-10x) Combine like terms: (10x) + (-10x) = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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