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Simplifying -1[5x + -1(10x + 1)] = 1 + (4x + 7) Reorder the terms: -1[5x + -1(1 + 10x)] = 1 + (4x + 7) -1[5x + (1 * -1 + 10x * -1)] = 1 + (4x + 7) -1[5x + (-1 + -10x)] = 1 + (4x + 7) Reorder the terms: -1[-1 + 5x + -10x] = 1 + (4x + 7) Combine like terms: 5x + -10x = -5x -1[-1 + -5x] = 1 + (4x + 7) [-1 * -1 + -5x * -1] = 1 + (4x + 7) [1 + 5x] = 1 + (4x + 7) Reorder the terms: 1 + 5x = 1 + (7 + 4x) Remove parenthesis around (7 + 4x) 1 + 5x = 1 + 7 + 4x Combine like terms: 1 + 7 = 8 1 + 5x = 8 + 4x Solving 1 + 5x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 5x + -4x = 8 + 4x + -4x Combine like terms: 5x + -4x = 1x 1 + 1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 1x = 8 + 0 1 + 1x = 8 Add '-1' to each side of the equation. 1 + -1 + 1x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 8 + -1 1x = 8 + -1 Combine like terms: 8 + -1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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