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Simplifying 8(3x + 2 + -5(2x + -1)) = 8 + -1(9 + -3x) Reorder the terms: 8(3x + 2 + -5(-1 + 2x)) = 8 + -1(9 + -3x) 8(3x + 2 + (-1 * -5 + 2x * -5)) = 8 + -1(9 + -3x) 8(3x + 2 + (5 + -10x)) = 8 + -1(9 + -3x) Reorder the terms: 8(2 + 5 + 3x + -10x) = 8 + -1(9 + -3x) Combine like terms: 2 + 5 = 7 8(7 + 3x + -10x) = 8 + -1(9 + -3x) Combine like terms: 3x + -10x = -7x 8(7 + -7x) = 8 + -1(9 + -3x) (7 * 8 + -7x * 8) = 8 + -1(9 + -3x) (56 + -56x) = 8 + -1(9 + -3x) 56 + -56x = 8 + (9 * -1 + -3x * -1) 56 + -56x = 8 + (-9 + 3x) Combine like terms: 8 + -9 = -1 56 + -56x = -1 + 3x Solving 56 + -56x = -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. 56 + -56x + -3x = -1 + 3x + -3x Combine like terms: -56x + -3x = -59x 56 + -59x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 56 + -59x = -1 + 0 56 + -59x = -1 Add '-56' to each side of the equation. 56 + -56 + -59x = -1 + -56 Combine like terms: 56 + -56 = 0 0 + -59x = -1 + -56 -59x = -1 + -56 Combine like terms: -1 + -56 = -57 -59x = -57 Divide each side by '-59'. x = 0.9661016949 Simplifying x = 0.9661016949
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