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Simplifying 4x + -4 + 8x + 12 = 2x + -8 + 6x Reorder the terms: -4 + 12 + 4x + 8x = 2x + -8 + 6x Combine like terms: -4 + 12 = 8 8 + 4x + 8x = 2x + -8 + 6x Combine like terms: 4x + 8x = 12x 8 + 12x = 2x + -8 + 6x Reorder the terms: 8 + 12x = -8 + 2x + 6x Combine like terms: 2x + 6x = 8x 8 + 12x = -8 + 8x Solving 8 + 12x = -8 + 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. 8 + 12x + -8x = -8 + 8x + -8x Combine like terms: 12x + -8x = 4x 8 + 4x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + 4x = -8 + 0 8 + 4x = -8 Add '-8' to each side of the equation. 8 + -8 + 4x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -8 + -8 4x = -8 + -8 Combine like terms: -8 + -8 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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