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Simplifying 9[5 + -7(x + -1)] + 6[(5x + 7) + -8] = 11x + -336 Reorder the terms: 9[5 + -7(-1 + x)] + 6[(5x + 7) + -8] = 11x + -336 9[5 + (-1 * -7 + x * -7)] + 6[(5x + 7) + -8] = 11x + -336 9[5 + (7 + -7x)] + 6[(5x + 7) + -8] = 11x + -336 Combine like terms: 5 + 7 = 12 9[12 + -7x] + 6[(5x + 7) + -8] = 11x + -336 [12 * 9 + -7x * 9] + 6[(5x + 7) + -8] = 11x + -336 [108 + -63x] + 6[(5x + 7) + -8] = 11x + -336 Reorder the terms: 108 + -63x + 6[(7 + 5x) + -8] = 11x + -336 Remove parenthesis around (7 + 5x) 108 + -63x + 6[7 + 5x + -8] = 11x + -336 Reorder the terms: 108 + -63x + 6[7 + -8 + 5x] = 11x + -336 Combine like terms: 7 + -8 = -1 108 + -63x + 6[-1 + 5x] = 11x + -336 108 + -63x + [-1 * 6 + 5x * 6] = 11x + -336 108 + -63x + [-6 + 30x] = 11x + -336 Reorder the terms: 108 + -6 + -63x + 30x = 11x + -336 Combine like terms: 108 + -6 = 102 102 + -63x + 30x = 11x + -336 Combine like terms: -63x + 30x = -33x 102 + -33x = 11x + -336 Reorder the terms: 102 + -33x = -336 + 11x Solving 102 + -33x = -336 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 102 + -33x + -11x = -336 + 11x + -11x Combine like terms: -33x + -11x = -44x 102 + -44x = -336 + 11x + -11x Combine like terms: 11x + -11x = 0 102 + -44x = -336 + 0 102 + -44x = -336 Add '-102' to each side of the equation. 102 + -102 + -44x = -336 + -102 Combine like terms: 102 + -102 = 0 0 + -44x = -336 + -102 -44x = -336 + -102 Combine like terms: -336 + -102 = -438 -44x = -438 Divide each side by '-44'. x = 9.954545455 Simplifying x = 9.954545455
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