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Simplifying 10x + 26 = 7x + 31 Reorder the terms: 26 + 10x = 7x + 31 Reorder the terms: 26 + 10x = 31 + 7x Solving 26 + 10x = 31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 26 + 10x + -7x = 31 + 7x + -7x Combine like terms: 10x + -7x = 3x 26 + 3x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 26 + 3x = 31 + 0 26 + 3x = 31 Add '-26' to each side of the equation. 26 + -26 + 3x = 31 + -26 Combine like terms: 26 + -26 = 0 0 + 3x = 31 + -26 3x = 31 + -26 Combine like terms: 31 + -26 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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