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Simplifying 3(5x + 9) = 3(2x + 9) Reorder the terms: 3(9 + 5x) = 3(2x + 9) (9 * 3 + 5x * 3) = 3(2x + 9) (27 + 15x) = 3(2x + 9) Reorder the terms: 27 + 15x = 3(9 + 2x) 27 + 15x = (9 * 3 + 2x * 3) 27 + 15x = (27 + 6x) Add '-27' to each side of the equation. 27 + -27 + 15x = 27 + -27 + 6x Combine like terms: 27 + -27 = 0 0 + 15x = 27 + -27 + 6x 15x = 27 + -27 + 6x Combine like terms: 27 + -27 = 0 15x = 0 + 6x 15x = 6x Solving 15x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15x + -6x = 6x + -6x Combine like terms: 15x + -6x = 9x 9x = 6x + -6x Combine like terms: 6x + -6x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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