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Simplifying -1[4x + -1(13x + 4)] = 4 + (8x + 5) Reorder the terms: -1[4x + -1(4 + 13x)] = 4 + (8x + 5) -1[4x + (4 * -1 + 13x * -1)] = 4 + (8x + 5) -1[4x + (-4 + -13x)] = 4 + (8x + 5) Reorder the terms: -1[-4 + 4x + -13x] = 4 + (8x + 5) Combine like terms: 4x + -13x = -9x -1[-4 + -9x] = 4 + (8x + 5) [-4 * -1 + -9x * -1] = 4 + (8x + 5) [4 + 9x] = 4 + (8x + 5) Reorder the terms: 4 + 9x = 4 + (5 + 8x) Remove parenthesis around (5 + 8x) 4 + 9x = 4 + 5 + 8x Combine like terms: 4 + 5 = 9 4 + 9x = 9 + 8x Solving 4 + 9x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 9x + -8x = 9 + 8x + -8x Combine like terms: 9x + -8x = 1x 4 + 1x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 1x = 9 + 0 4 + 1x = 9 Add '-4' to each side of the equation. 4 + -4 + 1x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 9 + -4 1x = 9 + -4 Combine like terms: 9 + -4 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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