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Simplifying 250 = 10x + 5(250 + -10x) 250 = 10x + (250 * 5 + -10x * 5) 250 = 10x + (1250 + -50x) Reorder the terms: 250 = 1250 + 10x + -50x Combine like terms: 10x + -50x = -40x 250 = 1250 + -40x Solving 250 = 1250 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 250 + 40x = 1250 + -40x + 40x Combine like terms: -40x + 40x = 0 250 + 40x = 1250 + 0 250 + 40x = 1250 Add '-250' to each side of the equation. 250 + -250 + 40x = 1250 + -250 Combine like terms: 250 + -250 = 0 0 + 40x = 1250 + -250 40x = 1250 + -250 Combine like terms: 1250 + -250 = 1000 40x = 1000 Divide each side by '40'. x = 25 Simplifying x = 25
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