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Simplifying 5(6x + 1) = 3(2 + 9x) Reorder the terms: 5(1 + 6x) = 3(2 + 9x) (1 * 5 + 6x * 5) = 3(2 + 9x) (5 + 30x) = 3(2 + 9x) 5 + 30x = (2 * 3 + 9x * 3) 5 + 30x = (6 + 27x) Solving 5 + 30x = 6 + 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. 5 + 30x + -27x = 6 + 27x + -27x Combine like terms: 30x + -27x = 3x 5 + 3x = 6 + 27x + -27x Combine like terms: 27x + -27x = 0 5 + 3x = 6 + 0 5 + 3x = 6 Add '-5' to each side of the equation. 5 + -5 + 3x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 6 + -5 3x = 6 + -5 Combine like terms: 6 + -5 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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