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Simplifying -1[8x + -1(13x + 2)] = 2 + (4x + 5) Reorder the terms: -1[8x + -1(2 + 13x)] = 2 + (4x + 5) -1[8x + (2 * -1 + 13x * -1)] = 2 + (4x + 5) -1[8x + (-2 + -13x)] = 2 + (4x + 5) Reorder the terms: -1[-2 + 8x + -13x] = 2 + (4x + 5) Combine like terms: 8x + -13x = -5x -1[-2 + -5x] = 2 + (4x + 5) [-2 * -1 + -5x * -1] = 2 + (4x + 5) [2 + 5x] = 2 + (4x + 5) Reorder the terms: 2 + 5x = 2 + (5 + 4x) Remove parenthesis around (5 + 4x) 2 + 5x = 2 + 5 + 4x Combine like terms: 2 + 5 = 7 2 + 5x = 7 + 4x Solving 2 + 5x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 5x + -4x = 7 + 4x + -4x Combine like terms: 5x + -4x = 1x 2 + 1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 1x = 7 + 0 2 + 1x = 7 Add '-2' to each side of the equation. 2 + -2 + 1x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 7 + -2 1x = 7 + -2 Combine like terms: 7 + -2 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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