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