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Simplifying 3(2x + 9) = 3(x + 15) Reorder the terms: 3(9 + 2x) = 3(x + 15) (9 * 3 + 2x * 3) = 3(x + 15) (27 + 6x) = 3(x + 15) Reorder the terms: 27 + 6x = 3(15 + x) 27 + 6x = (15 * 3 + x * 3) 27 + 6x = (45 + 3x) Solving 27 + 6x = 45 + 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. 27 + 6x + -3x = 45 + 3x + -3x Combine like terms: 6x + -3x = 3x 27 + 3x = 45 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 3x = 45 + 0 27 + 3x = 45 Add '-27' to each side of the equation. 27 + -27 + 3x = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 45 + -27 3x = 45 + -27 Combine like terms: 45 + -27 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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