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Simplifying 12x + 8 + -4x = 6 + 2x + -6 Reorder the terms: 8 + 12x + -4x = 6 + 2x + -6 Combine like terms: 12x + -4x = 8x 8 + 8x = 6 + 2x + -6 Reorder the terms: 8 + 8x = 6 + -6 + 2x Combine like terms: 6 + -6 = 0 8 + 8x = 0 + 2x 8 + 8x = 2x Solving 8 + 8x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 8x + -2x = 2x + -2x Combine like terms: 8x + -2x = 6x 8 + 6x = 2x + -2x Combine like terms: 2x + -2x = 0 8 + 6x = 0 Add '-8' to each side of the equation. 8 + -8 + 6x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 0 + -8 6x = 0 + -8 Combine like terms: 0 + -8 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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