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Simplifying 46 = -2x + 6x + 2 Reorder the terms: 46 = 2 + -2x + 6x Combine like terms: -2x + 6x = 4x 46 = 2 + 4x Solving 46 = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 46 + -4x = 2 + 4x + -4x Combine like terms: 4x + -4x = 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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