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Simplifying -46 = -2x + -3x + -6 Reorder the terms: -46 = -6 + -2x + -3x Combine like terms: -2x + -3x = -5x -46 = -6 + -5x Solving -46 = -6 + -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. -46 + 5x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 -46 + 5x = -6 + 0 -46 + 5x = -6 Add '46' to each side of the equation. -46 + 46 + 5x = -6 + 46 Combine like terms: -46 + 46 = 0 0 + 5x = -6 + 46 5x = -6 + 46 Combine like terms: -6 + 46 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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