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Simplifying 12x + -4x + 6 = 4x + 2 + -32 Reorder the terms: 6 + 12x + -4x = 4x + 2 + -32 Combine like terms: 12x + -4x = 8x 6 + 8x = 4x + 2 + -32 Reorder the terms: 6 + 8x = 2 + -32 + 4x Combine like terms: 2 + -32 = -30 6 + 8x = -30 + 4x Solving 6 + 8x = -30 + 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. 6 + 8x + -4x = -30 + 4x + -4x Combine like terms: 8x + -4x = 4x 6 + 4x = -30 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 4x = -30 + 0 6 + 4x = -30 Add '-6' to each side of the equation. 6 + -6 + 4x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -30 + -6 4x = -30 + -6 Combine like terms: -30 + -6 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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