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Simplifying 3(10x + 75) = 405 Reorder the terms: 3(75 + 10x) = 405 (75 * 3 + 10x * 3) = 405 (225 + 30x) = 405 Solving 225 + 30x = 405 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-225' to each side of the equation. 225 + -225 + 30x = 405 + -225 Combine like terms: 225 + -225 = 0 0 + 30x = 405 + -225 30x = 405 + -225 Combine like terms: 405 + -225 = 180 30x = 180 Divide each side by '30'. x = 6 Simplifying x = 6
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