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Simplifying 12x + -83 = 8x + -51 Reorder the terms: -83 + 12x = 8x + -51 Reorder the terms: -83 + 12x = -51 + 8x Solving -83 + 12x = -51 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -83 + 12x + -8x = -51 + 8x + -8x Combine like terms: 12x + -8x = 4x -83 + 4x = -51 + 8x + -8x Combine like terms: 8x + -8x = 0 -83 + 4x = -51 + 0 -83 + 4x = -51 Add '83' to each side of the equation. -83 + 83 + 4x = -51 + 83 Combine like terms: -83 + 83 = 0 0 + 4x = -51 + 83 4x = -51 + 83 Combine like terms: -51 + 83 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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