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Simplifying 12x + -51 = 3x + 12 Reorder the terms: -51 + 12x = 3x + 12 Reorder the terms: -51 + 12x = 12 + 3x Solving -51 + 12x = 12 + 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 + 12x + -3x = 12 + 3x + -3x Combine like terms: 12x + -3x = 9x -51 + 9x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -51 + 9x = 12 + 0 -51 + 9x = 12 Add '51' to each side of the equation. -51 + 51 + 9x = 12 + 51 Combine like terms: -51 + 51 = 0 0 + 9x = 12 + 51 9x = 12 + 51 Combine like terms: 12 + 51 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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