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Simplifying -3(x + 2) = 27x + 24 Reorder the terms: -3(2 + x) = 27x + 24 (2 * -3 + x * -3) = 27x + 24 (-6 + -3x) = 27x + 24 Reorder the terms: -6 + -3x = 24 + 27x Solving -6 + -3x = 24 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -6 + -3x + -27x = 24 + 27x + -27x Combine like terms: -3x + -27x = -30x -6 + -30x = 24 + 27x + -27x Combine like terms: 27x + -27x = 0 -6 + -30x = 24 + 0 -6 + -30x = 24 Add '6' to each side of the equation. -6 + 6 + -30x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -30x = 24 + 6 -30x = 24 + 6 Combine like terms: 24 + 6 = 30 -30x = 30 Divide each side by '-30'. x = -1 Simplifying x = -1
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