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Simplifying 8[5 + -8(x + -1)] + 7[(5x + 6) + -8] = 11x + -341 Reorder the terms: 8[5 + -8(-1 + x)] + 7[(5x + 6) + -8] = 11x + -341 8[5 + (-1 * -8 + x * -8)] + 7[(5x + 6) + -8] = 11x + -341 8[5 + (8 + -8x)] + 7[(5x + 6) + -8] = 11x + -341 Combine like terms: 5 + 8 = 13 8[13 + -8x] + 7[(5x + 6) + -8] = 11x + -341 [13 * 8 + -8x * 8] + 7[(5x + 6) + -8] = 11x + -341 [104 + -64x] + 7[(5x + 6) + -8] = 11x + -341 Reorder the terms: 104 + -64x + 7[(6 + 5x) + -8] = 11x + -341 Remove parenthesis around (6 + 5x) 104 + -64x + 7[6 + 5x + -8] = 11x + -341 Reorder the terms: 104 + -64x + 7[6 + -8 + 5x] = 11x + -341 Combine like terms: 6 + -8 = -2 104 + -64x + 7[-2 + 5x] = 11x + -341 104 + -64x + [-2 * 7 + 5x * 7] = 11x + -341 104 + -64x + [-14 + 35x] = 11x + -341 Reorder the terms: 104 + -14 + -64x + 35x = 11x + -341 Combine like terms: 104 + -14 = 90 90 + -64x + 35x = 11x + -341 Combine like terms: -64x + 35x = -29x 90 + -29x = 11x + -341 Reorder the terms: 90 + -29x = -341 + 11x Solving 90 + -29x = -341 + 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. 90 + -29x + -11x = -341 + 11x + -11x Combine like terms: -29x + -11x = -40x 90 + -40x = -341 + 11x + -11x Combine like terms: 11x + -11x = 0 90 + -40x = -341 + 0 90 + -40x = -341 Add '-90' to each side of the equation. 90 + -90 + -40x = -341 + -90 Combine like terms: 90 + -90 = 0 0 + -40x = -341 + -90 -40x = -341 + -90 Combine like terms: -341 + -90 = -431 -40x = -431 Divide each side by '-40'. x = 10.775 Simplifying x = 10.775
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