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Simplifying 51 + 7x = 12x + -9 Reorder the terms: 51 + 7x = -9 + 12x Solving 51 + 7x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 51 + 7x + -12x = -9 + 12x + -12x Combine like terms: 7x + -12x = -5x 51 + -5x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 51 + -5x = -9 + 0 51 + -5x = -9 Add '-51' to each side of the equation. 51 + -51 + -5x = -9 + -51 Combine like terms: 51 + -51 = 0 0 + -5x = -9 + -51 -5x = -9 + -51 Combine like terms: -9 + -51 = -60 -5x = -60 Divide each side by '-5'. x = 12 Simplifying x = 12
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