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Simplifying 3(9x + 8) = 5(3x + 5) Reorder the terms: 3(8 + 9x) = 5(3x + 5) (8 * 3 + 9x * 3) = 5(3x + 5) (24 + 27x) = 5(3x + 5) Reorder the terms: 24 + 27x = 5(5 + 3x) 24 + 27x = (5 * 5 + 3x * 5) 24 + 27x = (25 + 15x) Solving 24 + 27x = 25 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 24 + 27x + -15x = 25 + 15x + -15x Combine like terms: 27x + -15x = 12x 24 + 12x = 25 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + 12x = 25 + 0 24 + 12x = 25 Add '-24' to each side of the equation. 24 + -24 + 12x = 25 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = 25 + -24 12x = 25 + -24 Combine like terms: 25 + -24 = 1 12x = 1 Divide each side by '12'. x = 0.08333333333 Simplifying x = 0.08333333333
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