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Simplifying 2(3x + 9) = -45 + 57 Reorder the terms: 2(9 + 3x) = -45 + 57 (9 * 2 + 3x * 2) = -45 + 57 (18 + 6x) = -45 + 57 Combine like terms: -45 + 57 = 12 18 + 6x = 12 Solving 18 + 6x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 12 + -18 6x = 12 + -18 Combine like terms: 12 + -18 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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