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Simplifying 12x + 51 = -75 + 3x Reorder the terms: 51 + 12x = -75 + 3x Solving 51 + 12x = -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 + 12x + -3x = -75 + 3x + -3x Combine like terms: 12x + -3x = 9x 51 + 9x = -75 + 3x + -3x Combine like terms: 3x + -3x = 0 51 + 9x = -75 + 0 51 + 9x = -75 Add '-51' to each side of the equation. 51 + -51 + 9x = -75 + -51 Combine like terms: 51 + -51 = 0 0 + 9x = -75 + -51 9x = -75 + -51 Combine like terms: -75 + -51 = -126 9x = -126 Divide each side by '9'. x = -14 Simplifying x = -14
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