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Simplifying 3x + 21 = 2x + 46 Reorder the terms: 21 + 3x = 2x + 46 Reorder the terms: 21 + 3x = 46 + 2x Solving 21 + 3x = 46 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 3x + -2x = 46 + 2x + -2x Combine like terms: 3x + -2x = 1x 21 + 1x = 46 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 1x = 46 + 0 21 + 1x = 46 Add '-21' to each side of the equation. 21 + -21 + 1x = 46 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 46 + -21 1x = 46 + -21 Combine like terms: 46 + -21 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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