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Simplifying -1[7x + -1(14x + 1)] = 1 + (6x + 7) Reorder the terms: -1[7x + -1(1 + 14x)] = 1 + (6x + 7) -1[7x + (1 * -1 + 14x * -1)] = 1 + (6x + 7) -1[7x + (-1 + -14x)] = 1 + (6x + 7) Reorder the terms: -1[-1 + 7x + -14x] = 1 + (6x + 7) Combine like terms: 7x + -14x = -7x -1[-1 + -7x] = 1 + (6x + 7) [-1 * -1 + -7x * -1] = 1 + (6x + 7) [1 + 7x] = 1 + (6x + 7) Reorder the terms: 1 + 7x = 1 + (7 + 6x) Remove parenthesis around (7 + 6x) 1 + 7x = 1 + 7 + 6x Combine like terms: 1 + 7 = 8 1 + 7x = 8 + 6x Solving 1 + 7x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 7x + -6x = 8 + 6x + -6x Combine like terms: 7x + -6x = 1x 1 + 1x = 8 + 6x + -6x Combine like terms: 6x + -6x = 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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