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Simplifying 12x + -6 = 4x + -38 Reorder the terms: -6 + 12x = 4x + -38 Reorder the terms: -6 + 12x = -38 + 4x Solving -6 + 12x = -38 + 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 + 12x + -4x = -38 + 4x + -4x Combine like terms: 12x + -4x = 8x -6 + 8x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 8x = -38 + 0 -6 + 8x = -38 Add '6' to each side of the equation. -6 + 6 + 8x = -38 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -38 + 6 8x = -38 + 6 Combine like terms: -38 + 6 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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