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Simplifying -27 + 10x = 8x + 13 Reorder the terms: -27 + 10x = 13 + 8x Solving -27 + 10x = 13 + 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 = 13 + 8x + -8x Combine like terms: 10x + -8x = 2x -27 + 2x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + 2x = 13 + 0 -27 + 2x = 13 Add '27' to each side of the equation. -27 + 27 + 2x = 13 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = 13 + 27 2x = 13 + 27 Combine like terms: 13 + 27 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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