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