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Simplifying 5x + 12 = -7x + -51 Reorder the terms: 12 + 5x = -7x + -51 Reorder the terms: 12 + 5x = -51 + -7x Solving 12 + 5x = -51 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + 5x + 7x = -51 + -7x + 7x Combine like terms: 5x + 7x = 12x 12 + 12x = -51 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 12x = -51 + 0 12 + 12x = -51 Add '-12' to each side of the equation. 12 + -12 + 12x = -51 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = -51 + -12 12x = -51 + -12 Combine like terms: -51 + -12 = -63 12x = -63 Divide each side by '12'. x = -5.25 Simplifying x = -5.25
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