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Simplifying 100(x + 1) + 50x = 400 Reorder the terms: 100(1 + x) + 50x = 400 (1 * 100 + x * 100) + 50x = 400 (100 + 100x) + 50x = 400 Combine like terms: 100x + 50x = 150x 100 + 150x = 400 Solving 100 + 150x = 400 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 + 150x = 400 + -100 Combine like terms: 100 + -100 = 0 0 + 150x = 400 + -100 150x = 400 + -100 Combine like terms: 400 + -100 = 300 150x = 300 Divide each side by '150'. x = 2 Simplifying x = 2
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