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