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Simplifying 10(5x + 2) + -3x = 349 Reorder the terms: 10(2 + 5x) + -3x = 349 (2 * 10 + 5x * 10) + -3x = 349 (20 + 50x) + -3x = 349 Combine like terms: 50x + -3x = 47x 20 + 47x = 349 Solving 20 + 47x = 349 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 47x = 349 + -20 Combine like terms: 20 + -20 = 0 0 + 47x = 349 + -20 47x = 349 + -20 Combine like terms: 349 + -20 = 329 47x = 329 Divide each side by '47'. x = 7 Simplifying x = 7
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