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Simplifying 6(2x + 3) = 3(x + 9) Reorder the terms: 6(3 + 2x) = 3(x + 9) (3 * 6 + 2x * 6) = 3(x + 9) (18 + 12x) = 3(x + 9) Reorder the terms: 18 + 12x = 3(9 + x) 18 + 12x = (9 * 3 + x * 3) 18 + 12x = (27 + 3x) Solving 18 + 12x = 27 + 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. 18 + 12x + -3x = 27 + 3x + -3x Combine like terms: 12x + -3x = 9x 18 + 9x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 9x = 27 + 0 18 + 9x = 27 Add '-18' to each side of the equation. 18 + -18 + 9x = 27 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 27 + -18 9x = 27 + -18 Combine like terms: 27 + -18 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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