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Simplifying 10x + 46 = 11x + 27 Reorder the terms: 46 + 10x = 11x + 27 Reorder the terms: 46 + 10x = 27 + 11x Solving 46 + 10x = 27 + 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 + 10x + -11x = 27 + 11x + -11x Combine like terms: 10x + -11x = -1x 46 + -1x = 27 + 11x + -11x Combine like terms: 11x + -11x = 0 46 + -1x = 27 + 0 46 + -1x = 27 Add '-46' to each side of the equation. 46 + -46 + -1x = 27 + -46 Combine like terms: 46 + -46 = 0 0 + -1x = 27 + -46 -1x = 27 + -46 Combine like terms: 27 + -46 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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