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Simplifying 7x + 27 = 5x + 51 Reorder the terms: 27 + 7x = 5x + 51 Reorder the terms: 27 + 7x = 51 + 5x Solving 27 + 7x = 51 + 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. 27 + 7x + -5x = 51 + 5x + -5x Combine like terms: 7x + -5x = 2x 27 + 2x = 51 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + 2x = 51 + 0 27 + 2x = 51 Add '-27' to each side of the equation. 27 + -27 + 2x = 51 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 51 + -27 2x = 51 + -27 Combine like terms: 51 + -27 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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