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Simplifying 8(3x + 2) + -5(2x + -1) = 8 + -1(9 + -3x) Reorder the terms: 8(2 + 3x) + -5(2x + -1) = 8 + -1(9 + -3x) (2 * 8 + 3x * 8) + -5(2x + -1) = 8 + -1(9 + -3x) (16 + 24x) + -5(2x + -1) = 8 + -1(9 + -3x) Reorder the terms: 16 + 24x + -5(-1 + 2x) = 8 + -1(9 + -3x) 16 + 24x + (-1 * -5 + 2x * -5) = 8 + -1(9 + -3x) 16 + 24x + (5 + -10x) = 8 + -1(9 + -3x) Reorder the terms: 16 + 5 + 24x + -10x = 8 + -1(9 + -3x) Combine like terms: 16 + 5 = 21 21 + 24x + -10x = 8 + -1(9 + -3x) Combine like terms: 24x + -10x = 14x 21 + 14x = 8 + -1(9 + -3x) 21 + 14x = 8 + (9 * -1 + -3x * -1) 21 + 14x = 8 + (-9 + 3x) Combine like terms: 8 + -9 = -1 21 + 14x = -1 + 3x Solving 21 + 14x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 21 + 14x + -3x = -1 + 3x + -3x Combine like terms: 14x + -3x = 11x 21 + 11x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 11x = -1 + 0 21 + 11x = -1 Add '-21' to each side of the equation. 21 + -21 + 11x = -1 + -21 Combine like terms: 21 + -21 = 0 0 + 11x = -1 + -21 11x = -1 + -21 Combine like terms: -1 + -21 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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