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