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Simplifying 8(4x + 1) = 9(3x + 2) Reorder the terms: 8(1 + 4x) = 9(3x + 2) (1 * 8 + 4x * 8) = 9(3x + 2) (8 + 32x) = 9(3x + 2) Reorder the terms: 8 + 32x = 9(2 + 3x) 8 + 32x = (2 * 9 + 3x * 9) 8 + 32x = (18 + 27x) Solving 8 + 32x = 18 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 8 + 32x + -27x = 18 + 27x + -27x Combine like terms: 32x + -27x = 5x 8 + 5x = 18 + 27x + -27x Combine like terms: 27x + -27x = 0 8 + 5x = 18 + 0 8 + 5x = 18 Add '-8' to each side of the equation. 8 + -8 + 5x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 18 + -8 5x = 18 + -8 Combine like terms: 18 + -8 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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