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Simplifying 8x + -1(9x + 6) = 5x + -24 Reorder the terms: 8x + -1(6 + 9x) = 5x + -24 8x + (6 * -1 + 9x * -1) = 5x + -24 8x + (-6 + -9x) = 5x + -24 Reorder the terms: -6 + 8x + -9x = 5x + -24 Combine like terms: 8x + -9x = -1x -6 + -1x = 5x + -24 Reorder the terms: -6 + -1x = -24 + 5x Solving -6 + -1x = -24 + 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. -6 + -1x + -5x = -24 + 5x + -5x Combine like terms: -1x + -5x = -6x -6 + -6x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -6x = -24 + 0 -6 + -6x = -24 Add '6' to each side of the equation. -6 + 6 + -6x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -24 + 6 -6x = -24 + 6 Combine like terms: -24 + 6 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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