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Simplifying x + 2 = -3x + -46 Reorder the terms: 2 + x = -3x + -46 Reorder the terms: 2 + x = -46 + -3x Solving 2 + x = -46 + -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. 2 + x + 3x = -46 + -3x + 3x Combine like terms: x + 3x = 4x 2 + 4x = -46 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 4x = -46 + 0 2 + 4x = -46 Add '-2' to each side of the equation. 2 + -2 + 4x = -46 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -46 + -2 4x = -46 + -2 Combine like terms: -46 + -2 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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