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Simplifying 50 + 20x = 100 + -30x Solving 50 + 20x = 100 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 50 + 20x + 30x = 100 + -30x + 30x Combine like terms: 20x + 30x = 50x 50 + 50x = 100 + -30x + 30x Combine like terms: -30x + 30x = 0 50 + 50x = 100 + 0 50 + 50x = 100 Add '-50' to each side of the equation. 50 + -50 + 50x = 100 + -50 Combine like terms: 50 + -50 = 0 0 + 50x = 100 + -50 50x = 100 + -50 Combine like terms: 100 + -50 = 50 50x = 50 Divide each side by '50'. x = 1 Simplifying x = 1
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