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