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Simplifying 24x + -1(5x + 6) = 27x + 3 Reorder the terms: 24x + -1(6 + 5x) = 27x + 3 24x + (6 * -1 + 5x * -1) = 27x + 3 24x + (-6 + -5x) = 27x + 3 Reorder the terms: -6 + 24x + -5x = 27x + 3 Combine like terms: 24x + -5x = 19x -6 + 19x = 27x + 3 Reorder the terms: -6 + 19x = 3 + 27x Solving -6 + 19x = 3 + 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 = 3 + 27x + -27x Combine like terms: 19x + -27x = -8x -6 + -8x = 3 + 27x + -27x Combine like terms: 27x + -27x = 0 -6 + -8x = 3 + 0 -6 + -8x = 3 Add '6' to each side of the equation. -6 + 6 + -8x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 3 + 6 -8x = 3 + 6 Combine like terms: 3 + 6 = 9 -8x = 9 Divide each side by '-8'. x = -1.125 Simplifying x = -1.125
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