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Simplifying -27 + 14x = -13(x + -9) + 9x Reorder the terms: -27 + 14x = -13(-9 + x) + 9x -27 + 14x = (-9 * -13 + x * -13) + 9x -27 + 14x = (117 + -13x) + 9x Combine like terms: -13x + 9x = -4x -27 + 14x = 117 + -4x Solving -27 + 14x = 117 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -27 + 14x + 4x = 117 + -4x + 4x Combine like terms: 14x + 4x = 18x -27 + 18x = 117 + -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 18x = 117 + 0 -27 + 18x = 117 Add '27' to each side of the equation. -27 + 27 + 18x = 117 + 27 Combine like terms: -27 + 27 = 0 0 + 18x = 117 + 27 18x = 117 + 27 Combine like terms: 117 + 27 = 144 18x = 144 Divide each side by '18'. x = 8 Simplifying x = 8
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