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Simplifying 12x + 21 = 5x + 28 Reorder the terms: 21 + 12x = 5x + 28 Reorder the terms: 21 + 12x = 28 + 5x Solving 21 + 12x = 28 + 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. 21 + 12x + -5x = 28 + 5x + -5x Combine like terms: 12x + -5x = 7x 21 + 7x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + 7x = 28 + 0 21 + 7x = 28 Add '-21' to each side of the equation. 21 + -21 + 7x = 28 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 28 + -21 7x = 28 + -21 Combine like terms: 28 + -21 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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