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Simplifying -9x + 24 = 2x + -31 Reorder the terms: 24 + -9x = 2x + -31 Reorder the terms: 24 + -9x = -31 + 2x Solving 24 + -9x = -31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + -9x + -2x = -31 + 2x + -2x Combine like terms: -9x + -2x = -11x 24 + -11x = -31 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -11x = -31 + 0 24 + -11x = -31 Add '-24' to each side of the equation. 24 + -24 + -11x = -31 + -24 Combine like terms: 24 + -24 = 0 0 + -11x = -31 + -24 -11x = -31 + -24 Combine like terms: -31 + -24 = -55 -11x = -55 Divide each side by '-11'. x = 5 Simplifying x = 5
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