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