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Simplifying 8x + -1(6x + 9) = 5x + -24 Reorder the terms: 8x + -1(9 + 6x) = 5x + -24 8x + (9 * -1 + 6x * -1) = 5x + -24 8x + (-9 + -6x) = 5x + -24 Reorder the terms: -9 + 8x + -6x = 5x + -24 Combine like terms: 8x + -6x = 2x -9 + 2x = 5x + -24 Reorder the terms: -9 + 2x = -24 + 5x Solving -9 + 2x = -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. -9 + 2x + -5x = -24 + 5x + -5x Combine like terms: 2x + -5x = -3x -9 + -3x = -24 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -3x = -24 + 0 -9 + -3x = -24 Add '9' to each side of the equation. -9 + 9 + -3x = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -24 + 9 -3x = -24 + 9 Combine like terms: -24 + 9 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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