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Simplifying 8(3x + 2) + -1(2x + -1) = 8 + -1(9 + -3x) Reorder the terms: 8(2 + 3x) + -1(2x + -1) = 8 + -1(9 + -3x) (2 * 8 + 3x * 8) + -1(2x + -1) = 8 + -1(9 + -3x) (16 + 24x) + -1(2x + -1) = 8 + -1(9 + -3x) Reorder the terms: 16 + 24x + -1(-1 + 2x) = 8 + -1(9 + -3x) 16 + 24x + (-1 * -1 + 2x * -1) = 8 + -1(9 + -3x) 16 + 24x + (1 + -2x) = 8 + -1(9 + -3x) Reorder the terms: 16 + 1 + 24x + -2x = 8 + -1(9 + -3x) Combine like terms: 16 + 1 = 17 17 + 24x + -2x = 8 + -1(9 + -3x) Combine like terms: 24x + -2x = 22x 17 + 22x = 8 + -1(9 + -3x) 17 + 22x = 8 + (9 * -1 + -3x * -1) 17 + 22x = 8 + (-9 + 3x) Combine like terms: 8 + -9 = -1 17 + 22x = -1 + 3x Solving 17 + 22x = -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. 17 + 22x + -3x = -1 + 3x + -3x Combine like terms: 22x + -3x = 19x 17 + 19x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 17 + 19x = -1 + 0 17 + 19x = -1 Add '-17' to each side of the equation. 17 + -17 + 19x = -1 + -17 Combine like terms: 17 + -17 = 0 0 + 19x = -1 + -17 19x = -1 + -17 Combine like terms: -1 + -17 = -18 19x = -18 Divide each side by '19'. x = -0.9473684211 Simplifying x = -0.9473684211
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