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Simplifying 6(7x + 18) = 402 Reorder the terms: 6(18 + 7x) = 402 (18 * 6 + 7x * 6) = 402 (108 + 42x) = 402 Solving 108 + 42x = 402 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + 42x = 402 + -108 Combine like terms: 108 + -108 = 0 0 + 42x = 402 + -108 42x = 402 + -108 Combine like terms: 402 + -108 = 294 42x = 294 Divide each side by '42'. x = 7 Simplifying x = 7
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