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Simplifying 3x + -6 + 8 + -4x = x + 2x + 2 Reorder the terms: -6 + 8 + 3x + -4x = x + 2x + 2 Combine like terms: -6 + 8 = 2 2 + 3x + -4x = x + 2x + 2 Combine like terms: 3x + -4x = -1x 2 + -1x = x + 2x + 2 Reorder the terms: 2 + -1x = 2 + x + 2x Combine like terms: x + 2x = 3x 2 + -1x = 2 + 3x Add '-2' to each side of the equation. 2 + -2 + -1x = 2 + -2 + 3x Combine like terms: 2 + -2 = 0 0 + -1x = 2 + -2 + 3x -1x = 2 + -2 + 3x Combine like terms: 2 + -2 = 0 -1x = 0 + 3x -1x = 3x Solving -1x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1x + -3x = 3x + -3x Combine like terms: -1x + -3x = -4x -4x = 3x + -3x Combine like terms: 3x + -3x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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