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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 = 8x -2 + 8x = 2 + 4x + 8 Reorder the terms: -2 + 8x = 2 + 8 + 4x Combine like terms: 2 + 8 = 10 -2 + 8x = 10 + 4x Solving -2 + 8x = 10 + 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 = 10 + 4x + -4x Combine like terms: 8x + -4x = 4x -2 + 4x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 4x = 10 + 0 -2 + 4x = 10 Add '2' to each side of the equation. -2 + 2 + 4x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 10 + 2 4x = 10 + 2 Combine like terms: 10 + 2 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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