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Simplifying -114 + -8x = 9x + 24 Reorder the terms: -114 + -8x = 24 + 9x Solving -114 + -8x = 24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -114 + -8x + -9x = 24 + 9x + -9x Combine like terms: -8x + -9x = -17x -114 + -17x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 -114 + -17x = 24 + 0 -114 + -17x = 24 Add '114' to each side of the equation. -114 + 114 + -17x = 24 + 114 Combine like terms: -114 + 114 = 0 0 + -17x = 24 + 114 -17x = 24 + 114 Combine like terms: 24 + 114 = 138 -17x = 138 Divide each side by '-17'. x = -8.117647059 Simplifying x = -8.117647059
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