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Simplifying 2(x + 4) = -3x + -27 Reorder the terms: 2(4 + x) = -3x + -27 (4 * 2 + x * 2) = -3x + -27 (8 + 2x) = -3x + -27 Reorder the terms: 8 + 2x = -27 + -3x Solving 8 + 2x = -27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 2x + 3x = -27 + -3x + 3x Combine like terms: 2x + 3x = 5x 8 + 5x = -27 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 5x = -27 + 0 8 + 5x = -27 Add '-8' to each side of the equation. 8 + -8 + 5x = -27 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -27 + -8 5x = -27 + -8 Combine like terms: -27 + -8 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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