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Simplifying 9x + 21 = 46 + 4x Reorder the terms: 21 + 9x = 46 + 4x Solving 21 + 9x = 46 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 9x + -4x = 46 + 4x + -4x Combine like terms: 9x + -4x = 5x 21 + 5x = 46 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 5x = 46 + 0 21 + 5x = 46 Add '-21' to each side of the equation. 21 + -21 + 5x = 46 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 46 + -21 5x = 46 + -21 Combine like terms: 46 + -21 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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