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Simplifying -27 = -7x + 2(x + 4) Reorder the terms: -27 = -7x + 2(4 + x) -27 = -7x + (4 * 2 + x * 2) -27 = -7x + (8 + 2x) Reorder the terms: -27 = 8 + -7x + 2x Combine like terms: -7x + 2x = -5x -27 = 8 + -5x Solving -27 = 8 + -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 = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -27 + 5x = 8 + 0 -27 + 5x = 8 Add '27' to each side of the equation. -27 + 27 + 5x = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 5x = 8 + 27 5x = 8 + 27 Combine like terms: 8 + 27 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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