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Simplifying 3(6x + 9) = 5(3x + 6) Reorder the terms: 3(9 + 6x) = 5(3x + 6) (9 * 3 + 6x * 3) = 5(3x + 6) (27 + 18x) = 5(3x + 6) Reorder the terms: 27 + 18x = 5(6 + 3x) 27 + 18x = (6 * 5 + 3x * 5) 27 + 18x = (30 + 15x) Solving 27 + 18x = 30 + 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. 27 + 18x + -15x = 30 + 15x + -15x Combine like terms: 18x + -15x = 3x 27 + 3x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 27 + 3x = 30 + 0 27 + 3x = 30 Add '-27' to each side of the equation. 27 + -27 + 3x = 30 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 30 + -27 3x = 30 + -27 Combine like terms: 30 + -27 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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