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Simplifying 504 = 6(7x + 14) Reorder the terms: 504 = 6(14 + 7x) 504 = (14 * 6 + 7x * 6) 504 = (84 + 42x) Solving 504 = 84 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 504 + -42x = 84 + 42x + -42x Combine like terms: 42x + -42x = 0 504 + -42x = 84 + 0 504 + -42x = 84 Add '-504' to each side of the equation. 504 + -504 + -42x = 84 + -504 Combine like terms: 504 + -504 = 0 0 + -42x = 84 + -504 -42x = 84 + -504 Combine like terms: 84 + -504 = -420 -42x = -420 Divide each side by '-42'. x = 10 Simplifying x = 10
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