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Simplifying 9(x + 2) + -6(x + 3) = 27 Reorder the terms: 9(2 + x) + -6(x + 3) = 27 (2 * 9 + x * 9) + -6(x + 3) = 27 (18 + 9x) + -6(x + 3) = 27 Reorder the terms: 18 + 9x + -6(3 + x) = 27 18 + 9x + (3 * -6 + x * -6) = 27 18 + 9x + (-18 + -6x) = 27 Reorder the terms: 18 + -18 + 9x + -6x = 27 Combine like terms: 18 + -18 = 0 0 + 9x + -6x = 27 9x + -6x = 27 Combine like terms: 9x + -6x = 3x 3x = 27 Solving 3x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '3'. x = 9 Simplifying x = 9
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