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Simplifying 12x + -1(5x + 1) = 6 Reorder the terms: 12x + -1(1 + 5x) = 6 12x + (1 * -1 + 5x * -1) = 6 12x + (-1 + -5x) = 6 Reorder the terms: -1 + 12x + -5x = 6 Combine like terms: 12x + -5x = 7x -1 + 7x = 6 Solving -1 + 7x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 6 + 1 7x = 6 + 1 Combine like terms: 6 + 1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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