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Simplifying 9(3x + 6) + -1(7x + -3) = 12 Reorder the terms: 9(6 + 3x) + -1(7x + -3) = 12 (6 * 9 + 3x * 9) + -1(7x + -3) = 12 (54 + 27x) + -1(7x + -3) = 12 Reorder the terms: 54 + 27x + -1(-3 + 7x) = 12 54 + 27x + (-3 * -1 + 7x * -1) = 12 54 + 27x + (3 + -7x) = 12 Reorder the terms: 54 + 3 + 27x + -7x = 12 Combine like terms: 54 + 3 = 57 57 + 27x + -7x = 12 Combine like terms: 27x + -7x = 20x 57 + 20x = 12 Solving 57 + 20x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + 20x = 12 + -57 Combine like terms: 57 + -57 = 0 0 + 20x = 12 + -57 20x = 12 + -57 Combine like terms: 12 + -57 = -45 20x = -45 Divide each side by '20'. x = -2.25 Simplifying x = -2.25
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