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Simplifying 2x + 2 = -4x + -46 Reorder the terms: 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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