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Simplifying -1[4x + -1(10x + 1)] = 1 + (5x + 9) Reorder the terms: -1[4x + -1(1 + 10x)] = 1 + (5x + 9) -1[4x + (1 * -1 + 10x * -1)] = 1 + (5x + 9) -1[4x + (-1 + -10x)] = 1 + (5x + 9) Reorder the terms: -1[-1 + 4x + -10x] = 1 + (5x + 9) Combine like terms: 4x + -10x = -6x -1[-1 + -6x] = 1 + (5x + 9) [-1 * -1 + -6x * -1] = 1 + (5x + 9) [1 + 6x] = 1 + (5x + 9) Reorder the terms: 1 + 6x = 1 + (9 + 5x) Remove parenthesis around (9 + 5x) 1 + 6x = 1 + 9 + 5x Combine like terms: 1 + 9 = 10 1 + 6x = 10 + 5x Solving 1 + 6x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 6x + -5x = 10 + 5x + -5x Combine like terms: 6x + -5x = 1x 1 + 1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 1x = 10 + 0 1 + 1x = 10 Add '-1' to each side of the equation. 1 + -1 + 1x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 10 + -1 1x = 10 + -1 Combine like terms: 10 + -1 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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