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Simplifying 7(3x + 6) + 6(x + 41) = 504 Reorder the terms: 7(6 + 3x) + 6(x + 41) = 504 (6 * 7 + 3x * 7) + 6(x + 41) = 504 (42 + 21x) + 6(x + 41) = 504 Reorder the terms: 42 + 21x + 6(41 + x) = 504 42 + 21x + (41 * 6 + x * 6) = 504 42 + 21x + (246 + 6x) = 504 Reorder the terms: 42 + 246 + 21x + 6x = 504 Combine like terms: 42 + 246 = 288 288 + 21x + 6x = 504 Combine like terms: 21x + 6x = 27x 288 + 27x = 504 Solving 288 + 27x = 504 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-288' to each side of the equation. 288 + -288 + 27x = 504 + -288 Combine like terms: 288 + -288 = 0 0 + 27x = 504 + -288 27x = 504 + -288 Combine like terms: 504 + -288 = 216 27x = 216 Divide each side by '27'. x = 8 Simplifying x = 8
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