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Simplifying 8 + -1(2x + -1) = 7(2 + -3x) Reorder the terms: 8 + -1(-1 + 2x) = 7(2 + -3x) 8 + (-1 * -1 + 2x * -1) = 7(2 + -3x) 8 + (1 + -2x) = 7(2 + -3x) Combine like terms: 8 + 1 = 9 9 + -2x = 7(2 + -3x) 9 + -2x = (2 * 7 + -3x * 7) 9 + -2x = (14 + -21x) Solving 9 + -2x = 14 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 9 + -2x + 21x = 14 + -21x + 21x Combine like terms: -2x + 21x = 19x 9 + 19x = 14 + -21x + 21x Combine like terms: -21x + 21x = 0 9 + 19x = 14 + 0 9 + 19x = 14 Add '-9' to each side of the equation. 9 + -9 + 19x = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 19x = 14 + -9 19x = 14 + -9 Combine like terms: 14 + -9 = 5 19x = 5 Divide each side by '19'. x = 0.2631578947 Simplifying x = 0.2631578947
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