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Simplifying 3(2x + 11) = 5n + -12n Reorder the terms: 3(11 + 2x) = 5n + -12n (11 * 3 + 2x * 3) = 5n + -12n (33 + 6x) = 5n + -12n Combine like terms: 5n + -12n = -7n 33 + 6x = -7n Solving 33 + 6x = -7n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 6x = -33 + -7n Combine like terms: 33 + -33 = 0 0 + 6x = -33 + -7n 6x = -33 + -7n Divide each side by '6'. x = -5.5 + -1.166666667n Simplifying x = -5.5 + -1.166666667n
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