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