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Simplifying 6x + -1(1 + -2x) = 7 6x + (1 * -1 + -2x * -1) = 7 6x + (-1 + 2x) = 7 Reorder the terms: -1 + 6x + 2x = 7 Combine like terms: 6x + 2x = 8x -1 + 8x = 7 Solving -1 + 8x = 7 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 + 8x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 7 + 1 8x = 7 + 1 Combine like terms: 7 + 1 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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