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Simplifying 7x + 9 + -2x = -8x + 11x + 27 Reorder the terms: 9 + 7x + -2x = -8x + 11x + 27 Combine like terms: 7x + -2x = 5x 9 + 5x = -8x + 11x + 27 Reorder the terms: 9 + 5x = 27 + -8x + 11x Combine like terms: -8x + 11x = 3x 9 + 5x = 27 + 3x Solving 9 + 5x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 5x + -3x = 27 + 3x + -3x Combine like terms: 5x + -3x = 2x 9 + 2x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 2x = 27 + 0 9 + 2x = 27 Add '-9' to each side of the equation. 9 + -9 + 2x = 27 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 27 + -9 2x = 27 + -9 Combine like terms: 27 + -9 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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