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Simplifying 2x + 27 = 11x + -46 Reorder the terms: 27 + 2x = 11x + -46 Reorder the terms: 27 + 2x = -46 + 11x Solving 27 + 2x = -46 + 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. 27 + 2x + -11x = -46 + 11x + -11x Combine like terms: 2x + -11x = -9x 27 + -9x = -46 + 11x + -11x Combine like terms: 11x + -11x = 0 27 + -9x = -46 + 0 27 + -9x = -46 Add '-27' to each side of the equation. 27 + -27 + -9x = -46 + -27 Combine like terms: 27 + -27 = 0 0 + -9x = -46 + -27 -9x = -46 + -27 Combine like terms: -46 + -27 = -73 -9x = -73 Divide each side by '-9'. x = 8.111111111 Simplifying x = 8.111111111
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