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Simplifying 8x + -27 + 2x = 2 + -8x + 15 Reorder the terms: -27 + 8x + 2x = 2 + -8x + 15 Combine like terms: 8x + 2x = 10x -27 + 10x = 2 + -8x + 15 Reorder the terms: -27 + 10x = 2 + 15 + -8x Combine like terms: 2 + 15 = 17 -27 + 10x = 17 + -8x Solving -27 + 10x = 17 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -27 + 10x + 8x = 17 + -8x + 8x Combine like terms: 10x + 8x = 18x -27 + 18x = 17 + -8x + 8x Combine like terms: -8x + 8x = 0 -27 + 18x = 17 + 0 -27 + 18x = 17 Add '27' to each side of the equation. -27 + 27 + 18x = 17 + 27 Combine like terms: -27 + 27 = 0 0 + 18x = 17 + 27 18x = 17 + 27 Combine like terms: 17 + 27 = 44 18x = 44 Divide each side by '18'. x = 2.444444444 Simplifying x = 2.444444444
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