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Simplifying 3(2x + 9) = 4(x + 11) Reorder the terms: 3(9 + 2x) = 4(x + 11) (9 * 3 + 2x * 3) = 4(x + 11) (27 + 6x) = 4(x + 11) Reorder the terms: 27 + 6x = 4(11 + x) 27 + 6x = (11 * 4 + x * 4) 27 + 6x = (44 + 4x) Solving 27 + 6x = 44 + 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 = 44 + 4x + -4x Combine like terms: 6x + -4x = 2x 27 + 2x = 44 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + 2x = 44 + 0 27 + 2x = 44 Add '-27' to each side of the equation. 27 + -27 + 2x = 44 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 44 + -27 2x = 44 + -27 Combine like terms: 44 + -27 = 17 2x = 17 Divide each side by '2'. x = 8.5 Simplifying x = 8.5
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