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Simplifying 12x + 1 = 11x + 7 Reorder the terms: 1 + 12x = 11x + 7 Reorder the terms: 1 + 12x = 7 + 11x Solving 1 + 12x = 7 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 1 + 12x + -11x = 7 + 11x + -11x Combine like terms: 12x + -11x = 1x 1 + 1x = 7 + 11x + -11x Combine like terms: 11x + -11x = 0 1 + 1x = 7 + 0 1 + 1x = 7 Add '-1' to each side of the equation. 1 + -1 + 1x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 7 + -1 1x = 7 + -1 Combine like terms: 7 + -1 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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