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Simplifying -6x + -2 + 2x = -2 + 4x + 8 Reorder the terms: -2 + -6x + 2x = -2 + 4x + 8 Combine like terms: -6x + 2x = -4x -2 + -4x = -2 + 4x + 8 Reorder the terms: -2 + -4x = -2 + 8 + 4x Combine like terms: -2 + 8 = 6 -2 + -4x = 6 + 4x Solving -2 + -4x = 6 + 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 + -4x + -4x = 6 + 4x + -4x Combine like terms: -4x + -4x = -8x -2 + -8x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -8x = 6 + 0 -2 + -8x = 6 Add '2' to each side of the equation. -2 + 2 + -8x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 6 + 2 -8x = 6 + 2 Combine like terms: 6 + 2 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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