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Simplifying 50 + 100x = 400 + 50x Solving 50 + 100x = 400 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 50 + 100x + -50x = 400 + 50x + -50x Combine like terms: 100x + -50x = 50x 50 + 50x = 400 + 50x + -50x Combine like terms: 50x + -50x = 0 50 + 50x = 400 + 0 50 + 50x = 400 Add '-50' to each side of the equation. 50 + -50 + 50x = 400 + -50 Combine like terms: 50 + -50 = 0 0 + 50x = 400 + -50 50x = 400 + -50 Combine like terms: 400 + -50 = 350 50x = 350 Divide each side by '50'. x = 7 Simplifying x = 7
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