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Simplifying 50x + 90 = 40x + 100 Reorder the terms: 90 + 50x = 40x + 100 Reorder the terms: 90 + 50x = 100 + 40x Solving 90 + 50x = 100 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 90 + 50x + -40x = 100 + 40x + -40x Combine like terms: 50x + -40x = 10x 90 + 10x = 100 + 40x + -40x Combine like terms: 40x + -40x = 0 90 + 10x = 100 + 0 90 + 10x = 100 Add '-90' to each side of the equation. 90 + -90 + 10x = 100 + -90 Combine like terms: 90 + -90 = 0 0 + 10x = 100 + -90 10x = 100 + -90 Combine like terms: 100 + -90 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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