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Simplifying 6 + 7x = 5x + 12 Reorder the terms: 6 + 7x = 12 + 5x Solving 6 + 7x = 12 + 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 + 7x + -5x = 12 + 5x + -5x Combine like terms: 7x + -5x = 2x 6 + 2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 2x = 12 + 0 6 + 2x = 12 Add '-6' to each side of the equation. 6 + -6 + 2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 12 + -6 2x = 12 + -6 Combine like terms: 12 + -6 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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