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Simplifying 3x + 2 = -46 + -5x Reorder the terms: 2 + 3x = -46 + -5x Solving 2 + 3x = -46 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 3x + 5x = -46 + -5x + 5x Combine like terms: 3x + 5x = 8x 2 + 8x = -46 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 8x = -46 + 0 2 + 8x = -46 Add '-2' to each side of the equation. 2 + -2 + 8x = -46 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = -46 + -2 8x = -46 + -2 Combine like terms: -46 + -2 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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