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Simplifying -5x + 2 = -46 + -1x Reorder the terms: 2 + -5x = -46 + -1x Solving 2 + -5x = -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 + -5x + x = -46 + -1x + x Combine like terms: -5x + 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 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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