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Simplifying -1[5x + -1(12x + 9)] = 9 + (6x + 5) Reorder the terms: -1[5x + -1(9 + 12x)] = 9 + (6x + 5) -1[5x + (9 * -1 + 12x * -1)] = 9 + (6x + 5) -1[5x + (-9 + -12x)] = 9 + (6x + 5) Reorder the terms: -1[-9 + 5x + -12x] = 9 + (6x + 5) Combine like terms: 5x + -12x = -7x -1[-9 + -7x] = 9 + (6x + 5) [-9 * -1 + -7x * -1] = 9 + (6x + 5) [9 + 7x] = 9 + (6x + 5) Reorder the terms: 9 + 7x = 9 + (5 + 6x) Remove parenthesis around (5 + 6x) 9 + 7x = 9 + 5 + 6x Combine like terms: 9 + 5 = 14 9 + 7x = 14 + 6x Solving 9 + 7x = 14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 7x + -6x = 14 + 6x + -6x Combine like terms: 7x + -6x = 1x 9 + 1x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + 1x = 14 + 0 9 + 1x = 14 Add '-9' to each side of the equation. 9 + -9 + 1x = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 14 + -9 1x = 14 + -9 Combine like terms: 14 + -9 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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