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Simplifying -1[2x + -1(6x + 5)] = 5 + (3x + 7) Reorder the terms: -1[2x + -1(5 + 6x)] = 5 + (3x + 7) -1[2x + (5 * -1 + 6x * -1)] = 5 + (3x + 7) -1[2x + (-5 + -6x)] = 5 + (3x + 7) Reorder the terms: -1[-5 + 2x + -6x] = 5 + (3x + 7) Combine like terms: 2x + -6x = -4x -1[-5 + -4x] = 5 + (3x + 7) [-5 * -1 + -4x * -1] = 5 + (3x + 7) [5 + 4x] = 5 + (3x + 7) Reorder the terms: 5 + 4x = 5 + (7 + 3x) Remove parenthesis around (7 + 3x) 5 + 4x = 5 + 7 + 3x Combine like terms: 5 + 7 = 12 5 + 4x = 12 + 3x Solving 5 + 4x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 4x + -3x = 12 + 3x + -3x Combine like terms: 4x + -3x = 1x 5 + 1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 1x = 12 + 0 5 + 1x = 12 Add '-5' to each side of the equation. 5 + -5 + 1x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 12 + -5 1x = 12 + -5 Combine like terms: 12 + -5 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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