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Simplifying 3(2x + 9) = -43 + 46 Reorder the terms: 3(9 + 2x) = -43 + 46 (9 * 3 + 2x * 3) = -43 + 46 (27 + 6x) = -43 + 46 Combine like terms: -43 + 46 = 3 27 + 6x = 3 Solving 27 + 6x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 6x = 3 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = 3 + -27 6x = 3 + -27 Combine like terms: 3 + -27 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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