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Simplifying 3(5 + 7x) + -1(9 + -4x) + 11 = 7(5x + 9) + -3 (5 * 3 + 7x * 3) + -1(9 + -4x) + 11 = 7(5x + 9) + -3 (15 + 21x) + -1(9 + -4x) + 11 = 7(5x + 9) + -3 15 + 21x + (9 * -1 + -4x * -1) + 11 = 7(5x + 9) + -3 15 + 21x + (-9 + 4x) + 11 = 7(5x + 9) + -3 Reorder the terms: 15 + -9 + 11 + 21x + 4x = 7(5x + 9) + -3 Combine like terms: 15 + -9 = 6 6 + 11 + 21x + 4x = 7(5x + 9) + -3 Combine like terms: 6 + 11 = 17 17 + 21x + 4x = 7(5x + 9) + -3 Combine like terms: 21x + 4x = 25x 17 + 25x = 7(5x + 9) + -3 Reorder the terms: 17 + 25x = 7(9 + 5x) + -3 17 + 25x = (9 * 7 + 5x * 7) + -3 17 + 25x = (63 + 35x) + -3 Reorder the terms: 17 + 25x = 63 + -3 + 35x Combine like terms: 63 + -3 = 60 17 + 25x = 60 + 35x Solving 17 + 25x = 60 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 17 + 25x + -35x = 60 + 35x + -35x Combine like terms: 25x + -35x = -10x 17 + -10x = 60 + 35x + -35x Combine like terms: 35x + -35x = 0 17 + -10x = 60 + 0 17 + -10x = 60 Add '-17' to each side of the equation. 17 + -17 + -10x = 60 + -17 Combine like terms: 17 + -17 = 0 0 + -10x = 60 + -17 -10x = 60 + -17 Combine like terms: 60 + -17 = 43 -10x = 43 Divide each side by '-10'. x = -4.3 Simplifying x = -4.3
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