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Simplifying 3(3 + -6x + -6x) + 6(5x + 9) = 27 Combine like terms: -6x + -6x = -12x 3(3 + -12x) + 6(5x + 9) = 27 (3 * 3 + -12x * 3) + 6(5x + 9) = 27 (9 + -36x) + 6(5x + 9) = 27 Reorder the terms: 9 + -36x + 6(9 + 5x) = 27 9 + -36x + (9 * 6 + 5x * 6) = 27 9 + -36x + (54 + 30x) = 27 Reorder the terms: 9 + 54 + -36x + 30x = 27 Combine like terms: 9 + 54 = 63 63 + -36x + 30x = 27 Combine like terms: -36x + 30x = -6x 63 + -6x = 27 Solving 63 + -6x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -6x = 27 + -63 Combine like terms: 63 + -63 = 0 0 + -6x = 27 + -63 -6x = 27 + -63 Combine like terms: 27 + -63 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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