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Simplifying 6(9 + 5x) = 414 (9 * 6 + 5x * 6) = 414 (54 + 30x) = 414 Solving 54 + 30x = 414 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 30x = 414 + -54 Combine like terms: 54 + -54 = 0 0 + 30x = 414 + -54 30x = 414 + -54 Combine like terms: 414 + -54 = 360 30x = 360 Divide each side by '30'. x = 12 Simplifying x = 12
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