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Simplifying 3(4x + 9) = 12 + -2x Reorder the terms: 3(9 + 4x) = 12 + -2x (9 * 3 + 4x * 3) = 12 + -2x (27 + 12x) = 12 + -2x Solving 27 + 12x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 27 + 12x + 2x = 12 + -2x + 2x Combine like terms: 12x + 2x = 14x 27 + 14x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 27 + 14x = 12 + 0 27 + 14x = 12 Add '-27' to each side of the equation. 27 + -27 + 14x = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 14x = 12 + -27 14x = 12 + -27 Combine like terms: 12 + -27 = -15 14x = -15 Divide each side by '14'. x = -1.071428571 Simplifying x = -1.071428571
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