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Simplifying (x + -2) + 48 = (2 + -3x) Reorder the terms: (-2 + x) + 48 = (2 + -3x) Remove parenthesis around (-2 + x) -2 + x + 48 = (2 + -3x) Reorder the terms: -2 + 48 + x = (2 + -3x) Combine like terms: -2 + 48 = 46 46 + x = (2 + -3x) Remove parenthesis around (2 + -3x) 46 + x = 2 + -3x Solving 46 + x = 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 + x + 3x = 2 + -3x + 3x Combine like terms: x + 3x = 4x 46 + 4x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 46 + 4x = 2 + 0 46 + 4x = 2 Add '-46' to each side of the equation. 46 + -46 + 4x = 2 + -46 Combine like terms: 46 + -46 = 0 0 + 4x = 2 + -46 4x = 2 + -46 Combine like terms: 2 + -46 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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