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Simplifying 8(3x + -1) = 7(2 + -5x) + 2 Reorder the terms: 8(-1 + 3x) = 7(2 + -5x) + 2 (-1 * 8 + 3x * 8) = 7(2 + -5x) + 2 (-8 + 24x) = 7(2 + -5x) + 2 -8 + 24x = (2 * 7 + -5x * 7) + 2 -8 + 24x = (14 + -35x) + 2 Reorder the terms: -8 + 24x = 14 + 2 + -35x Combine like terms: 14 + 2 = 16 -8 + 24x = 16 + -35x Solving -8 + 24x = 16 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -8 + 24x + 35x = 16 + -35x + 35x Combine like terms: 24x + 35x = 59x -8 + 59x = 16 + -35x + 35x Combine like terms: -35x + 35x = 0 -8 + 59x = 16 + 0 -8 + 59x = 16 Add '8' to each side of the equation. -8 + 8 + 59x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 59x = 16 + 8 59x = 16 + 8 Combine like terms: 16 + 8 = 24 59x = 24 Divide each side by '59'. x = 0.406779661 Simplifying x = 0.406779661
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