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Simplifying 9(3x + 4) = 7(x + 4) + 20 Reorder the terms: 9(4 + 3x) = 7(x + 4) + 20 (4 * 9 + 3x * 9) = 7(x + 4) + 20 (36 + 27x) = 7(x + 4) + 20 Reorder the terms: 36 + 27x = 7(4 + x) + 20 36 + 27x = (4 * 7 + x * 7) + 20 36 + 27x = (28 + 7x) + 20 Reorder the terms: 36 + 27x = 28 + 20 + 7x Combine like terms: 28 + 20 = 48 36 + 27x = 48 + 7x Solving 36 + 27x = 48 + 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. 36 + 27x + -7x = 48 + 7x + -7x Combine like terms: 27x + -7x = 20x 36 + 20x = 48 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + 20x = 48 + 0 36 + 20x = 48 Add '-36' to each side of the equation. 36 + -36 + 20x = 48 + -36 Combine like terms: 36 + -36 = 0 0 + 20x = 48 + -36 20x = 48 + -36 Combine like terms: 48 + -36 = 12 20x = 12 Divide each side by '20'. x = 0.6 Simplifying x = 0.6
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