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Simplifying 46 = 5x + 6x + 2 Reorder the terms: 46 = 2 + 5x + 6x Combine like terms: 5x + 6x = 11x 46 = 2 + 11x Solving 46 = 2 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 46 + -11x = 2 + 11x + -11x Combine like terms: 11x + -11x = 0 46 + -11x = 2 + 0 46 + -11x = 2 Add '-46' to each side of the equation. 46 + -46 + -11x = 2 + -46 Combine like terms: 46 + -46 = 0 0 + -11x = 2 + -46 -11x = 2 + -46 Combine like terms: 2 + -46 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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