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Simplifying 4x + x + -2 = 4x + 6 Reorder the terms: -2 + 4x + x = 4x + 6 Combine like terms: 4x + x = 5x -2 + 5x = 4x + 6 Reorder the terms: -2 + 5x = 6 + 4x Solving -2 + 5x = 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 + 5x + -4x = 6 + 4x + -4x Combine like terms: 5x + -4x = 1x -2 + 1x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 1x = 6 + 0 -2 + 1x = 6 Add '2' to each side of the equation. -2 + 2 + 1x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 6 + 2 1x = 6 + 2 Combine like terms: 6 + 2 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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