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Simplifying 12x + -8 + 6 = 4x + -32 Reorder the terms: -8 + 6 + 12x = 4x + -32 Combine like terms: -8 + 6 = -2 -2 + 12x = 4x + -32 Reorder the terms: -2 + 12x = -32 + 4x Solving -2 + 12x = -32 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 12x + -4x = -32 + 4x + -4x Combine like terms: 12x + -4x = 8x -2 + 8x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 8x = -32 + 0 -2 + 8x = -32 Add '2' to each side of the equation. -2 + 2 + 8x = -32 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = -32 + 2 8x = -32 + 2 Combine like terms: -32 + 2 = -30 8x = -30 Divide each side by '8'. x = -3.75 Simplifying x = -3.75
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