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Simplifying -1[4x + -1(12x + 1)] = 1 + (7x + 6) Reorder the terms: -1[4x + -1(1 + 12x)] = 1 + (7x + 6) -1[4x + (1 * -1 + 12x * -1)] = 1 + (7x + 6) -1[4x + (-1 + -12x)] = 1 + (7x + 6) Reorder the terms: -1[-1 + 4x + -12x] = 1 + (7x + 6) Combine like terms: 4x + -12x = -8x -1[-1 + -8x] = 1 + (7x + 6) [-1 * -1 + -8x * -1] = 1 + (7x + 6) [1 + 8x] = 1 + (7x + 6) Reorder the terms: 1 + 8x = 1 + (6 + 7x) Remove parenthesis around (6 + 7x) 1 + 8x = 1 + 6 + 7x Combine like terms: 1 + 6 = 7 1 + 8x = 7 + 7x Solving 1 + 8x = 7 + 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 = 7 + 7x + -7x Combine like terms: 8x + -7x = 1x 1 + 1x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 1x = 7 + 0 1 + 1x = 7 Add '-1' to each side of the equation. 1 + -1 + 1x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 7 + -1 1x = 7 + -1 Combine like terms: 7 + -1 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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