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Simplifying -1[9x + (7x + 15)] = 11 + -1(21x + 9) Reorder the terms: -1[9x + (15 + 7x)] = 11 + -1(21x + 9) Remove parenthesis around (15 + 7x) -1[9x + 15 + 7x] = 11 + -1(21x + 9) Reorder the terms: -1[15 + 9x + 7x] = 11 + -1(21x + 9) Combine like terms: 9x + 7x = 16x -1[15 + 16x] = 11 + -1(21x + 9) [15 * -1 + 16x * -1] = 11 + -1(21x + 9) [-15 + -16x] = 11 + -1(21x + 9) Reorder the terms: -15 + -16x = 11 + -1(9 + 21x) -15 + -16x = 11 + (9 * -1 + 21x * -1) -15 + -16x = 11 + (-9 + -21x) Combine like terms: 11 + -9 = 2 -15 + -16x = 2 + -21x Solving -15 + -16x = 2 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -15 + -16x + 21x = 2 + -21x + 21x Combine like terms: -16x + 21x = 5x -15 + 5x = 2 + -21x + 21x Combine like terms: -21x + 21x = 0 -15 + 5x = 2 + 0 -15 + 5x = 2 Add '15' to each side of the equation. -15 + 15 + 5x = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 2 + 15 5x = 2 + 15 Combine like terms: 2 + 15 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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