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Simplifying 12x + -51 = 5x + -2 Reorder the terms: -51 + 12x = 5x + -2 Reorder the terms: -51 + 12x = -2 + 5x Solving -51 + 12x = -2 + 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. -51 + 12x + -5x = -2 + 5x + -5x Combine like terms: 12x + -5x = 7x -51 + 7x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -51 + 7x = -2 + 0 -51 + 7x = -2 Add '51' to each side of the equation. -51 + 51 + 7x = -2 + 51 Combine like terms: -51 + 51 = 0 0 + 7x = -2 + 51 7x = -2 + 51 Combine like terms: -2 + 51 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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