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Simplifying 3x + -2 = -1(x + 46) Reorder the terms: -2 + 3x = -1(x + 46) Reorder the terms: -2 + 3x = -1(46 + x) -2 + 3x = (46 * -1 + x * -1) -2 + 3x = (-46 + -1x) Solving -2 + 3x = -46 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -2 + 3x + x = -46 + -1x + x Combine like terms: 3x + x = 4x -2 + 4x = -46 + -1x + x Combine like terms: -1x + x = 0 -2 + 4x = -46 + 0 -2 + 4x = -46 Add '2' to each side of the equation. -2 + 2 + 4x = -46 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -46 + 2 4x = -46 + 2 Combine like terms: -46 + 2 = -44 4x = -44 Divide each side by '4'. x = -11 Simplifying x = -11
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