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