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Simplifying -84 + 8x = 12x + 32 Reorder the terms: -84 + 8x = 32 + 12x Solving -84 + 8x = 32 + 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. -84 + 8x + -12x = 32 + 12x + -12x Combine like terms: 8x + -12x = -4x -84 + -4x = 32 + 12x + -12x Combine like terms: 12x + -12x = 0 -84 + -4x = 32 + 0 -84 + -4x = 32 Add '84' to each side of the equation. -84 + 84 + -4x = 32 + 84 Combine like terms: -84 + 84 = 0 0 + -4x = 32 + 84 -4x = 32 + 84 Combine like terms: 32 + 84 = 116 -4x = 116 Divide each side by '-4'. x = -29 Simplifying x = -29
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