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Simplifying -46 + -2x = 54 + 3x Solving -46 + -2x = 54 + 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. -46 + -2x + -3x = 54 + 3x + -3x Combine like terms: -2x + -3x = -5x -46 + -5x = 54 + 3x + -3x Combine like terms: 3x + -3x = 0 -46 + -5x = 54 + 0 -46 + -5x = 54 Add '46' to each side of the equation. -46 + 46 + -5x = 54 + 46 Combine like terms: -46 + 46 = 0 0 + -5x = 54 + 46 -5x = 54 + 46 Combine like terms: 54 + 46 = 100 -5x = 100 Divide each side by '-5'. x = -20 Simplifying x = -20
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