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Simplifying 3(x + 9) = 9(x + 5) Reorder the terms: 3(9 + x) = 9(x + 5) (9 * 3 + x * 3) = 9(x + 5) (27 + 3x) = 9(x + 5) Reorder the terms: 27 + 3x = 9(5 + x) 27 + 3x = (5 * 9 + x * 9) 27 + 3x = (45 + 9x) Solving 27 + 3x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 27 + 3x + -9x = 45 + 9x + -9x Combine like terms: 3x + -9x = -6x 27 + -6x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 27 + -6x = 45 + 0 27 + -6x = 45 Add '-27' to each side of the equation. 27 + -27 + -6x = 45 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = 45 + -27 -6x = 45 + -27 Combine like terms: 45 + -27 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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