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