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Simplifying 289 + -5x = 40x + 24 Reorder the terms: 289 + -5x = 24 + 40x Solving 289 + -5x = 24 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 289 + -5x + -40x = 24 + 40x + -40x Combine like terms: -5x + -40x = -45x 289 + -45x = 24 + 40x + -40x Combine like terms: 40x + -40x = 0 289 + -45x = 24 + 0 289 + -45x = 24 Add '-289' to each side of the equation. 289 + -289 + -45x = 24 + -289 Combine like terms: 289 + -289 = 0 0 + -45x = 24 + -289 -45x = 24 + -289 Combine like terms: 24 + -289 = -265 -45x = -265 Divide each side by '-45'. x = 5.888888889 Simplifying x = 5.888888889
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