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Simplifying 12x + -84 = 8x + -52 Reorder the terms: -84 + 12x = 8x + -52 Reorder the terms: -84 + 12x = -52 + 8x Solving -84 + 12x = -52 + 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. -84 + 12x + -8x = -52 + 8x + -8x Combine like terms: 12x + -8x = 4x -84 + 4x = -52 + 8x + -8x Combine like terms: 8x + -8x = 0 -84 + 4x = -52 + 0 -84 + 4x = -52 Add '84' to each side of the equation. -84 + 84 + 4x = -52 + 84 Combine like terms: -84 + 84 = 0 0 + 4x = -52 + 84 4x = -52 + 84 Combine like terms: -52 + 84 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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