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