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Simplifying (2x + 46) = (3x + -1) Reorder the terms: (46 + 2x) = (3x + -1) Remove parenthesis around (46 + 2x) 46 + 2x = (3x + -1) Reorder the terms: 46 + 2x = (-1 + 3x) Remove parenthesis around (-1 + 3x) 46 + 2x = -1 + 3x Solving 46 + 2x = -1 + 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 = -1 + 3x + -3x Combine like terms: 2x + -3x = -1x 46 + -1x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 46 + -1x = -1 + 0 46 + -1x = -1 Add '-46' to each side of the equation. 46 + -46 + -1x = -1 + -46 Combine like terms: 46 + -46 = 0 0 + -1x = -1 + -46 -1x = -1 + -46 Combine like terms: -1 + -46 = -47 -1x = -47 Divide each side by '-1'. x = 47 Simplifying x = 47
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