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Simplifying 2x + 24 = 11x + -45 Reorder the terms: 24 + 2x = 11x + -45 Reorder the terms: 24 + 2x = -45 + 11x Solving 24 + 2x = -45 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 24 + 2x + -11x = -45 + 11x + -11x Combine like terms: 2x + -11x = -9x 24 + -9x = -45 + 11x + -11x Combine like terms: 11x + -11x = 0 24 + -9x = -45 + 0 24 + -9x = -45 Add '-24' to each side of the equation. 24 + -24 + -9x = -45 + -24 Combine like terms: 24 + -24 = 0 0 + -9x = -45 + -24 -9x = -45 + -24 Combine like terms: -45 + -24 = -69 -9x = -69 Divide each side by '-9'. x = 7.666666667 Simplifying x = 7.666666667
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