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Simplifying 13(x + -1) = 8x + 27 Reorder the terms: 13(-1 + x) = 8x + 27 (-1 * 13 + x * 13) = 8x + 27 (-13 + 13x) = 8x + 27 Reorder the terms: -13 + 13x = 27 + 8x Solving -13 + 13x = 27 + 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. -13 + 13x + -8x = 27 + 8x + -8x Combine like terms: 13x + -8x = 5x -13 + 5x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + 5x = 27 + 0 -13 + 5x = 27 Add '13' to each side of the equation. -13 + 13 + 5x = 27 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 27 + 13 5x = 27 + 13 Combine like terms: 27 + 13 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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