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Simplifying -1[6x + -1(14x + 1)] = 1 + (7x + 2) Reorder the terms: -1[6x + -1(1 + 14x)] = 1 + (7x + 2) -1[6x + (1 * -1 + 14x * -1)] = 1 + (7x + 2) -1[6x + (-1 + -14x)] = 1 + (7x + 2) Reorder the terms: -1[-1 + 6x + -14x] = 1 + (7x + 2) Combine like terms: 6x + -14x = -8x -1[-1 + -8x] = 1 + (7x + 2) [-1 * -1 + -8x * -1] = 1 + (7x + 2) [1 + 8x] = 1 + (7x + 2) Reorder the terms: 1 + 8x = 1 + (2 + 7x) Remove parenthesis around (2 + 7x) 1 + 8x = 1 + 2 + 7x Combine like terms: 1 + 2 = 3 1 + 8x = 3 + 7x Solving 1 + 8x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + 8x + -7x = 3 + 7x + -7x Combine like terms: 8x + -7x = 1x 1 + 1x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 1x = 3 + 0 1 + 1x = 3 Add '-1' to each side of the equation. 1 + -1 + 1x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 3 + -1 1x = 3 + -1 Combine like terms: 3 + -1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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