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Simplifying -1x + 2 = 46 + -5x Reorder the terms: 2 + -1x = 46 + -5x Solving 2 + -1x = 46 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + -1x + 5x = 46 + -5x + 5x Combine like terms: -1x + 5x = 4x 2 + 4x = 46 + -5x + 5x Combine like terms: -5x + 5x = 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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