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