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Simplifying 9(3x + 6) + -6(7x + 3) = 12 Reorder the terms: 9(6 + 3x) + -6(7x + 3) = 12 (6 * 9 + 3x * 9) + -6(7x + 3) = 12 (54 + 27x) + -6(7x + 3) = 12 Reorder the terms: 54 + 27x + -6(3 + 7x) = 12 54 + 27x + (3 * -6 + 7x * -6) = 12 54 + 27x + (-18 + -42x) = 12 Reorder the terms: 54 + -18 + 27x + -42x = 12 Combine like terms: 54 + -18 = 36 36 + 27x + -42x = 12 Combine like terms: 27x + -42x = -15x 36 + -15x = 12 Solving 36 + -15x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -15x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -15x = 12 + -36 -15x = 12 + -36 Combine like terms: 12 + -36 = -24 -15x = -24 Divide each side by '-15'. x = 1.6 Simplifying x = 1.6
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