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Simplifying 3(13x + 9) = 12(6x + 5) Reorder the terms: 3(9 + 13x) = 12(6x + 5) (9 * 3 + 13x * 3) = 12(6x + 5) (27 + 39x) = 12(6x + 5) Reorder the terms: 27 + 39x = 12(5 + 6x) 27 + 39x = (5 * 12 + 6x * 12) 27 + 39x = (60 + 72x) Solving 27 + 39x = 60 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 27 + 39x + -72x = 60 + 72x + -72x Combine like terms: 39x + -72x = -33x 27 + -33x = 60 + 72x + -72x Combine like terms: 72x + -72x = 0 27 + -33x = 60 + 0 27 + -33x = 60 Add '-27' to each side of the equation. 27 + -27 + -33x = 60 + -27 Combine like terms: 27 + -27 = 0 0 + -33x = 60 + -27 -33x = 60 + -27 Combine like terms: 60 + -27 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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