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Simplifying 9x + -1(3x + -8) = 14 + -1(2 + 5x) Reorder the terms: 9x + -1(-8 + 3x) = 14 + -1(2 + 5x) 9x + (-8 * -1 + 3x * -1) = 14 + -1(2 + 5x) 9x + (8 + -3x) = 14 + -1(2 + 5x) Reorder the terms: 8 + 9x + -3x = 14 + -1(2 + 5x) Combine like terms: 9x + -3x = 6x 8 + 6x = 14 + -1(2 + 5x) 8 + 6x = 14 + (2 * -1 + 5x * -1) 8 + 6x = 14 + (-2 + -5x) Combine like terms: 14 + -2 = 12 8 + 6x = 12 + -5x Solving 8 + 6x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + 6x + 5x = 12 + -5x + 5x Combine like terms: 6x + 5x = 11x 8 + 11x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 11x = 12 + 0 8 + 11x = 12 Add '-8' to each side of the equation. 8 + -8 + 11x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 12 + -8 11x = 12 + -8 Combine like terms: 12 + -8 = 4 11x = 4 Divide each side by '11'. x = 0.3636363636 Simplifying x = 0.3636363636
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