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Simplifying -1[5x + -1(13x + 8)] = 8 + (7x + 5) Reorder the terms: -1[5x + -1(8 + 13x)] = 8 + (7x + 5) -1[5x + (8 * -1 + 13x * -1)] = 8 + (7x + 5) -1[5x + (-8 + -13x)] = 8 + (7x + 5) Reorder the terms: -1[-8 + 5x + -13x] = 8 + (7x + 5) Combine like terms: 5x + -13x = -8x -1[-8 + -8x] = 8 + (7x + 5) [-8 * -1 + -8x * -1] = 8 + (7x + 5) [8 + 8x] = 8 + (7x + 5) Reorder the terms: 8 + 8x = 8 + (5 + 7x) Remove parenthesis around (5 + 7x) 8 + 8x = 8 + 5 + 7x Combine like terms: 8 + 5 = 13 8 + 8x = 13 + 7x Solving 8 + 8x = 13 + 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. 8 + 8x + -7x = 13 + 7x + -7x Combine like terms: 8x + -7x = 1x 8 + 1x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 1x = 13 + 0 8 + 1x = 13 Add '-8' to each side of the equation. 8 + -8 + 1x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 13 + -8 1x = 13 + -8 Combine like terms: 13 + -8 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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