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Simplifying 4(10x + 25) = 380 Reorder the terms: 4(25 + 10x) = 380 (25 * 4 + 10x * 4) = 380 (100 + 40x) = 380 Solving 100 + 40x = 380 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 + 40x = 380 + -100 Combine like terms: 100 + -100 = 0 0 + 40x = 380 + -100 40x = 380 + -100 Combine like terms: 380 + -100 = 280 40x = 280 Divide each side by '40'. x = 7 Simplifying x = 7
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