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Simplifying 7(3x + 21) + 6(x + 53) = 546 Reorder the terms: 7(21 + 3x) + 6(x + 53) = 546 (21 * 7 + 3x * 7) + 6(x + 53) = 546 (147 + 21x) + 6(x + 53) = 546 Reorder the terms: 147 + 21x + 6(53 + x) = 546 147 + 21x + (53 * 6 + x * 6) = 546 147 + 21x + (318 + 6x) = 546 Reorder the terms: 147 + 318 + 21x + 6x = 546 Combine like terms: 147 + 318 = 465 465 + 21x + 6x = 546 Combine like terms: 21x + 6x = 27x 465 + 27x = 546 Solving 465 + 27x = 546 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-465' to each side of the equation. 465 + -465 + 27x = 546 + -465 Combine like terms: 465 + -465 = 0 0 + 27x = 546 + -465 27x = 546 + -465 Combine like terms: 546 + -465 = 81 27x = 81 Divide each side by '27'. x = 3 Simplifying x = 3
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