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Simplifying 50(x + -10) = 45x Reorder the terms: 50(-10 + x) = 45x (-10 * 50 + x * 50) = 45x (-500 + 50x) = 45x Solving -500 + 50x = 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. -500 + 50x + -45x = 45x + -45x Combine like terms: 50x + -45x = 5x -500 + 5x = 45x + -45x Combine like terms: 45x + -45x = 0 -500 + 5x = 0 Add '500' to each side of the equation. -500 + 500 + 5x = 0 + 500 Combine like terms: -500 + 500 = 0 0 + 5x = 0 + 500 5x = 0 + 500 Combine like terms: 0 + 500 = 500 5x = 500 Divide each side by '5'. x = 100 Simplifying x = 100
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