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Simplifying 3(2x + 9) = 2(7 + 2x) Reorder the terms: 3(9 + 2x) = 2(7 + 2x) (9 * 3 + 2x * 3) = 2(7 + 2x) (27 + 6x) = 2(7 + 2x) 27 + 6x = (7 * 2 + 2x * 2) 27 + 6x = (14 + 4x) Solving 27 + 6x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + 6x + -4x = 14 + 4x + -4x Combine like terms: 6x + -4x = 2x 27 + 2x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + 2x = 14 + 0 27 + 2x = 14 Add '-27' to each side of the equation. 27 + -27 + 2x = 14 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 14 + -27 2x = 14 + -27 Combine like terms: 14 + -27 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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