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Simplifying (3x + 15) * 15 = (x + 20) * 20 Reorder the terms: (15 + 3x) * 15 = (x + 20) * 20 Reorder the terms for easier multiplication: 15(15 + 3x) = (x + 20) * 20 (15 * 15 + 3x * 15) = (x + 20) * 20 (225 + 45x) = (x + 20) * 20 Reorder the terms: 225 + 45x = (20 + x) * 20 Reorder the terms for easier multiplication: 225 + 45x = 20(20 + x) 225 + 45x = (20 * 20 + x * 20) 225 + 45x = (400 + 20x) Solving 225 + 45x = 400 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 225 + 45x + -20x = 400 + 20x + -20x Combine like terms: 45x + -20x = 25x 225 + 25x = 400 + 20x + -20x Combine like terms: 20x + -20x = 0 225 + 25x = 400 + 0 225 + 25x = 400 Add '-225' to each side of the equation. 225 + -225 + 25x = 400 + -225 Combine like terms: 225 + -225 = 0 0 + 25x = 400 + -225 25x = 400 + -225 Combine like terms: 400 + -225 = 175 25x = 175 Divide each side by '25'. x = 7 Simplifying x = 7
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