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Simplifying -1[4x + -1(8x + 9)] = 9 + (3x + 4) Reorder the terms: -1[4x + -1(9 + 8x)] = 9 + (3x + 4) -1[4x + (9 * -1 + 8x * -1)] = 9 + (3x + 4) -1[4x + (-9 + -8x)] = 9 + (3x + 4) Reorder the terms: -1[-9 + 4x + -8x] = 9 + (3x + 4) Combine like terms: 4x + -8x = -4x -1[-9 + -4x] = 9 + (3x + 4) [-9 * -1 + -4x * -1] = 9 + (3x + 4) [9 + 4x] = 9 + (3x + 4) Reorder the terms: 9 + 4x = 9 + (4 + 3x) Remove parenthesis around (4 + 3x) 9 + 4x = 9 + 4 + 3x Combine like terms: 9 + 4 = 13 9 + 4x = 13 + 3x Solving 9 + 4x = 13 + 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. 9 + 4x + -3x = 13 + 3x + -3x Combine like terms: 4x + -3x = 1x 9 + 1x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 1x = 13 + 0 9 + 1x = 13 Add '-9' to each side of the equation. 9 + -9 + 1x = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 13 + -9 1x = 13 + -9 Combine like terms: 13 + -9 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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