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