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Simplifying -2 + 2x = -4x + 46 Reorder the terms: -2 + 2x = 46 + -4x Solving -2 + 2x = 46 + -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 + 2x + 4x = 46 + -4x + 4x Combine like terms: 2x + 4x = 6x -2 + 6x = 46 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 6x = 46 + 0 -2 + 6x = 46 Add '2' to each side of the equation. -2 + 2 + 6x = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 46 + 2 6x = 46 + 2 Combine like terms: 46 + 2 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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