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Simplifying 10x + 9 = 5x + 34 Reorder the terms: 9 + 10x = 5x + 34 Reorder the terms: 9 + 10x = 34 + 5x Solving 9 + 10x = 34 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 10x + -5x = 34 + 5x + -5x Combine like terms: 10x + -5x = 5x 9 + 5x = 34 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 5x = 34 + 0 9 + 5x = 34 Add '-9' to each side of the equation. 9 + -9 + 5x = 34 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 34 + -9 5x = 34 + -9 Combine like terms: 34 + -9 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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