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Simplifying 5x + 46 = 3x + -2 Reorder the terms: 46 + 5x = 3x + -2 Reorder the terms: 46 + 5x = -2 + 3x Solving 46 + 5x = -2 + 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 + 5x + -3x = -2 + 3x + -3x Combine like terms: 5x + -3x = 2x 46 + 2x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 46 + 2x = -2 + 0 46 + 2x = -2 Add '-46' to each side of the equation. 46 + -46 + 2x = -2 + -46 Combine like terms: 46 + -46 = 0 0 + 2x = -2 + -46 2x = -2 + -46 Combine like terms: -2 + -46 = -48 2x = -48 Divide each side by '2'. x = -24 Simplifying x = -24
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