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Simplifying 19x + 31 = 26x + -74 Reorder the terms: 31 + 19x = 26x + -74 Reorder the terms: 31 + 19x = -74 + 26x Solving 31 + 19x = -74 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 31 + 19x + -26x = -74 + 26x + -26x Combine like terms: 19x + -26x = -7x 31 + -7x = -74 + 26x + -26x Combine like terms: 26x + -26x = 0 31 + -7x = -74 + 0 31 + -7x = -74 Add '-31' to each side of the equation. 31 + -31 + -7x = -74 + -31 Combine like terms: 31 + -31 = 0 0 + -7x = -74 + -31 -7x = -74 + -31 Combine like terms: -74 + -31 = -105 -7x = -105 Divide each side by '-7'. x = 15 Simplifying x = 15
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