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Simplifying -3x + -46 = 24 + 2x Reorder the terms: -46 + -3x = 24 + 2x Solving -46 + -3x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -46 + -3x + -2x = 24 + 2x + -2x Combine like terms: -3x + -2x = -5x -46 + -5x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -46 + -5x = 24 + 0 -46 + -5x = 24 Add '46' to each side of the equation. -46 + 46 + -5x = 24 + 46 Combine like terms: -46 + 46 = 0 0 + -5x = 24 + 46 -5x = 24 + 46 Combine like terms: 24 + 46 = 70 -5x = 70 Divide each side by '-5'. x = -14 Simplifying x = -14
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