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Simplifying 3(2X + 9) + -5(4X + -11) = 8(11 + -1X) Reorder the terms: 3(9 + 2X) + -5(4X + -11) = 8(11 + -1X) (9 * 3 + 2X * 3) + -5(4X + -11) = 8(11 + -1X) (27 + 6X) + -5(4X + -11) = 8(11 + -1X) Reorder the terms: 27 + 6X + -5(-11 + 4X) = 8(11 + -1X) 27 + 6X + (-11 * -5 + 4X * -5) = 8(11 + -1X) 27 + 6X + (55 + -20X) = 8(11 + -1X) Reorder the terms: 27 + 55 + 6X + -20X = 8(11 + -1X) Combine like terms: 27 + 55 = 82 82 + 6X + -20X = 8(11 + -1X) Combine like terms: 6X + -20X = -14X 82 + -14X = 8(11 + -1X) 82 + -14X = (11 * 8 + -1X * 8) 82 + -14X = (88 + -8X) Solving 82 + -14X = 88 + -8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8X' to each side of the equation. 82 + -14X + 8X = 88 + -8X + 8X Combine like terms: -14X + 8X = -6X 82 + -6X = 88 + -8X + 8X Combine like terms: -8X + 8X = 0 82 + -6X = 88 + 0 82 + -6X = 88 Add '-82' to each side of the equation. 82 + -82 + -6X = 88 + -82 Combine like terms: 82 + -82 = 0 0 + -6X = 88 + -82 -6X = 88 + -82 Combine like terms: 88 + -82 = 6 -6X = 6 Divide each side by '-6'. X = -1 Simplifying X = -1
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