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Simplifying 12x + 6 = 7x + 31 Reorder the terms: 6 + 12x = 7x + 31 Reorder the terms: 6 + 12x = 31 + 7x Solving 6 + 12x = 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. 6 + 12x + -7x = 31 + 7x + -7x Combine like terms: 12x + -7x = 5x 6 + 5x = 31 + 7x + -7x Combine like terms: 7x + -7x = 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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