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Simplifying 3(10x + 75) = 585 Reorder the terms: 3(75 + 10x) = 585 (75 * 3 + 10x * 3) = 585 (225 + 30x) = 585 Solving 225 + 30x = 585 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 = 585 + -225 Combine like terms: 225 + -225 = 0 0 + 30x = 585 + -225 30x = 585 + -225 Combine like terms: 585 + -225 = 360 30x = 360 Divide each side by '30'. x = 12 Simplifying x = 12
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