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