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Simplifying -27 = 7x + 6(-2x + 3) Reorder the terms: -27 = 7x + 6(3 + -2x) -27 = 7x + (3 * 6 + -2x * 6) -27 = 7x + (18 + -12x) Reorder the terms: -27 = 18 + 7x + -12x Combine like terms: 7x + -12x = -5x -27 = 18 + -5x Solving -27 = 18 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -27 + 5x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 -27 + 5x = 18 + 0 -27 + 5x = 18 Add '27' to each side of the equation. -27 + 27 + 5x = 18 + 27 Combine like terms: -27 + 27 = 0 0 + 5x = 18 + 27 5x = 18 + 27 Combine like terms: 18 + 27 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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