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Simplifying 50(x + 3) = 75x Reorder the terms: 50(3 + x) = 75x (3 * 50 + x * 50) = 75x (150 + 50x) = 75x Solving 150 + 50x = 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 150 + 50x + -75x = 75x + -75x Combine like terms: 50x + -75x = -25x 150 + -25x = 75x + -75x Combine like terms: 75x + -75x = 0 150 + -25x = 0 Add '-150' to each side of the equation. 150 + -150 + -25x = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -25x = 0 + -150 -25x = 0 + -150 Combine like terms: 0 + -150 = -150 -25x = -150 Divide each side by '-25'. x = 6 Simplifying x = 6
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