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Simplifying 24x + -1(5x + 6) = 27x + 2 Reorder the terms: 24x + -1(6 + 5x) = 27x + 2 24x + (6 * -1 + 5x * -1) = 27x + 2 24x + (-6 + -5x) = 27x + 2 Reorder the terms: -6 + 24x + -5x = 27x + 2 Combine like terms: 24x + -5x = 19x -6 + 19x = 27x + 2 Reorder the terms: -6 + 19x = 2 + 27x Solving -6 + 19x = 2 + 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 + 19x + -27x = 2 + 27x + -27x Combine like terms: 19x + -27x = -8x -6 + -8x = 2 + 27x + -27x Combine like terms: 27x + -27x = 0 -6 + -8x = 2 + 0 -6 + -8x = 2 Add '6' to each side of the equation. -6 + 6 + -8x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 2 + 6 -8x = 2 + 6 Combine like terms: 2 + 6 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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