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Simplifying -2x + 2 = -46 + 4x 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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