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Simplifying 9x + -1(2x + 9) = 8x + -24 Reorder the terms: 9x + -1(9 + 2x) = 8x + -24 9x + (9 * -1 + 2x * -1) = 8x + -24 9x + (-9 + -2x) = 8x + -24 Reorder the terms: -9 + 9x + -2x = 8x + -24 Combine like terms: 9x + -2x = 7x -9 + 7x = 8x + -24 Reorder the terms: -9 + 7x = -24 + 8x Solving -9 + 7x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 7x + -8x = -24 + 8x + -8x Combine like terms: 7x + -8x = -1x -9 + -1x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -1x = -24 + 0 -9 + -1x = -24 Add '9' to each side of the equation. -9 + 9 + -1x = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -24 + 9 -1x = -24 + 9 Combine like terms: -24 + 9 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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