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Simplifying 30x + 100 = 35x + 50 Reorder the terms: 100 + 30x = 35x + 50 Reorder the terms: 100 + 30x = 50 + 35x Solving 100 + 30x = 50 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 100 + 30x + -35x = 50 + 35x + -35x Combine like terms: 30x + -35x = -5x 100 + -5x = 50 + 35x + -35x Combine like terms: 35x + -35x = 0 100 + -5x = 50 + 0 100 + -5x = 50 Add '-100' to each side of the equation. 100 + -100 + -5x = 50 + -100 Combine like terms: 100 + -100 = 0 0 + -5x = 50 + -100 -5x = 50 + -100 Combine like terms: 50 + -100 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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