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Simplifying 40x + 21 = 35x + 61 Reorder the terms: 21 + 40x = 35x + 61 Reorder the terms: 21 + 40x = 61 + 35x Solving 21 + 40x = 61 + 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. 21 + 40x + -35x = 61 + 35x + -35x Combine like terms: 40x + -35x = 5x 21 + 5x = 61 + 35x + -35x Combine like terms: 35x + -35x = 0 21 + 5x = 61 + 0 21 + 5x = 61 Add '-21' to each side of the equation. 21 + -21 + 5x = 61 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 61 + -21 5x = 61 + -21 Combine like terms: 61 + -21 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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