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Simplifying 75x + 10(10 + -5x) = 0 75x + (10 * 10 + -5x * 10) = 0 75x + (100 + -50x) = 0 Reorder the terms: 100 + 75x + -50x = 0 Combine like terms: 75x + -50x = 25x 100 + 25x = 0 Solving 100 + 25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 25x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 25x = 0 + -100 25x = 0 + -100 Combine like terms: 0 + -100 = -100 25x = -100 Divide each side by '25'. x = -4 Simplifying x = -4
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