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Simplifying 9(3x + -3) = 7(x + 12) Reorder the terms: 9(-3 + 3x) = 7(x + 12) (-3 * 9 + 3x * 9) = 7(x + 12) (-27 + 27x) = 7(x + 12) Reorder the terms: -27 + 27x = 7(12 + x) -27 + 27x = (12 * 7 + x * 7) -27 + 27x = (84 + 7x) Solving -27 + 27x = 84 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -27 + 27x + -7x = 84 + 7x + -7x Combine like terms: 27x + -7x = 20x -27 + 20x = 84 + 7x + -7x Combine like terms: 7x + -7x = 0 -27 + 20x = 84 + 0 -27 + 20x = 84 Add '27' to each side of the equation. -27 + 27 + 20x = 84 + 27 Combine like terms: -27 + 27 = 0 0 + 20x = 84 + 27 20x = 84 + 27 Combine like terms: 84 + 27 = 111 20x = 111 Divide each side by '20'. x = 5.55 Simplifying x = 5.55
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