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Simplifying 6x + -1(5x + 7) = 1 Reorder the terms: 6x + -1(7 + 5x) = 1 6x + (7 * -1 + 5x * -1) = 1 6x + (-7 + -5x) = 1 Reorder the terms: -7 + 6x + -5x = 1 Combine like terms: 6x + -5x = 1x -7 + 1x = 1 Solving -7 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 1 + 7 1x = 1 + 7 Combine like terms: 1 + 7 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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