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Simplifying 259 + -5x = 40x + 24 Reorder the terms: 259 + -5x = 24 + 40x Solving 259 + -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. 259 + -5x + -40x = 24 + 40x + -40x Combine like terms: -5x + -40x = -45x 259 + -45x = 24 + 40x + -40x Combine like terms: 40x + -40x = 0 259 + -45x = 24 + 0 259 + -45x = 24 Add '-259' to each side of the equation. 259 + -259 + -45x = 24 + -259 Combine like terms: 259 + -259 = 0 0 + -45x = 24 + -259 -45x = 24 + -259 Combine like terms: 24 + -259 = -235 -45x = -235 Divide each side by '-45'. x = 5.222222222 Simplifying x = 5.222222222
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