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Simplifying -1[6x + -1(13x + 6)] = 6 + (6x + 5) Reorder the terms: -1[6x + -1(6 + 13x)] = 6 + (6x + 5) -1[6x + (6 * -1 + 13x * -1)] = 6 + (6x + 5) -1[6x + (-6 + -13x)] = 6 + (6x + 5) Reorder the terms: -1[-6 + 6x + -13x] = 6 + (6x + 5) Combine like terms: 6x + -13x = -7x -1[-6 + -7x] = 6 + (6x + 5) [-6 * -1 + -7x * -1] = 6 + (6x + 5) [6 + 7x] = 6 + (6x + 5) Reorder the terms: 6 + 7x = 6 + (5 + 6x) Remove parenthesis around (5 + 6x) 6 + 7x = 6 + 5 + 6x Combine like terms: 6 + 5 = 11 6 + 7x = 11 + 6x Solving 6 + 7x = 11 + 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. 6 + 7x + -6x = 11 + 6x + -6x Combine like terms: 7x + -6x = 1x 6 + 1x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 1x = 11 + 0 6 + 1x = 11 Add '-6' to each side of the equation. 6 + -6 + 1x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 11 + -6 1x = 11 + -6 Combine like terms: 11 + -6 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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