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Simplifying 5x + 51 = 3x + 75 Reorder the terms: 51 + 5x = 3x + 75 Reorder the terms: 51 + 5x = 75 + 3x Solving 51 + 5x = 75 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 51 + 5x + -3x = 75 + 3x + -3x Combine like terms: 5x + -3x = 2x 51 + 2x = 75 + 3x + -3x Combine like terms: 3x + -3x = 0 51 + 2x = 75 + 0 51 + 2x = 75 Add '-51' to each side of the equation. 51 + -51 + 2x = 75 + -51 Combine like terms: 51 + -51 = 0 0 + 2x = 75 + -51 2x = 75 + -51 Combine like terms: 75 + -51 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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