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Simplifying 50 + 30x = 10(25 + x) 50 + 30x = (25 * 10 + x * 10) 50 + 30x = (250 + 10x) Solving 50 + 30x = 250 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 50 + 30x + -10x = 250 + 10x + -10x Combine like terms: 30x + -10x = 20x 50 + 20x = 250 + 10x + -10x Combine like terms: 10x + -10x = 0 50 + 20x = 250 + 0 50 + 20x = 250 Add '-50' to each side of the equation. 50 + -50 + 20x = 250 + -50 Combine like terms: 50 + -50 = 0 0 + 20x = 250 + -50 20x = 250 + -50 Combine like terms: 250 + -50 = 200 20x = 200 Divide each side by '20'. x = 10 Simplifying x = 10
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