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Simplifying 7[3 + -4(x + -1)] + 6[(2x + 7) + -8] = 17x + -333 Reorder the terms: 7[3 + -4(-1 + x)] + 6[(2x + 7) + -8] = 17x + -333 7[3 + (-1 * -4 + x * -4)] + 6[(2x + 7) + -8] = 17x + -333 7[3 + (4 + -4x)] + 6[(2x + 7) + -8] = 17x + -333 Combine like terms: 3 + 4 = 7 7[7 + -4x] + 6[(2x + 7) + -8] = 17x + -333 [7 * 7 + -4x * 7] + 6[(2x + 7) + -8] = 17x + -333 [49 + -28x] + 6[(2x + 7) + -8] = 17x + -333 Reorder the terms: 49 + -28x + 6[(7 + 2x) + -8] = 17x + -333 Remove parenthesis around (7 + 2x) 49 + -28x + 6[7 + 2x + -8] = 17x + -333 Reorder the terms: 49 + -28x + 6[7 + -8 + 2x] = 17x + -333 Combine like terms: 7 + -8 = -1 49 + -28x + 6[-1 + 2x] = 17x + -333 49 + -28x + [-1 * 6 + 2x * 6] = 17x + -333 49 + -28x + [-6 + 12x] = 17x + -333 Reorder the terms: 49 + -6 + -28x + 12x = 17x + -333 Combine like terms: 49 + -6 = 43 43 + -28x + 12x = 17x + -333 Combine like terms: -28x + 12x = -16x 43 + -16x = 17x + -333 Reorder the terms: 43 + -16x = -333 + 17x Solving 43 + -16x = -333 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 43 + -16x + -17x = -333 + 17x + -17x Combine like terms: -16x + -17x = -33x 43 + -33x = -333 + 17x + -17x Combine like terms: 17x + -17x = 0 43 + -33x = -333 + 0 43 + -33x = -333 Add '-43' to each side of the equation. 43 + -43 + -33x = -333 + -43 Combine like terms: 43 + -43 = 0 0 + -33x = -333 + -43 -33x = -333 + -43 Combine like terms: -333 + -43 = -376 -33x = -376 Divide each side by '-33'. x = 11.39393939 Simplifying x = 11.39393939
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