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Simplifying 10x + 6 = 5x + 31 Reorder the terms: 6 + 10x = 5x + 31 Reorder the terms: 6 + 10x = 31 + 5x Solving 6 + 10x = 31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 10x + -5x = 31 + 5x + -5x Combine like terms: 10x + -5x = 5x 6 + 5x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 5x = 31 + 0 6 + 5x = 31 Add '-6' to each side of the equation. 6 + -6 + 5x = 31 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 31 + -6 5x = 31 + -6 Combine like terms: 31 + -6 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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