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Simplifying 6(4x + 5) = 3(x + 8) Reorder the terms: 6(5 + 4x) = 3(x + 8) (5 * 6 + 4x * 6) = 3(x + 8) (30 + 24x) = 3(x + 8) Reorder the terms: 30 + 24x = 3(8 + x) 30 + 24x = (8 * 3 + x * 3) 30 + 24x = (24 + 3x) Solving 30 + 24x = 24 + 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. 30 + 24x + -3x = 24 + 3x + -3x Combine like terms: 24x + -3x = 21x 30 + 21x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 21x = 24 + 0 30 + 21x = 24 Add '-30' to each side of the equation. 30 + -30 + 21x = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 21x = 24 + -30 21x = 24 + -30 Combine like terms: 24 + -30 = -6 21x = -6 Divide each side by '21'. x = -0.2857142857 Simplifying x = -0.2857142857
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