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Simplifying -6 + -7(-8 + -1x) = x + 2 -6 + (-8 * -7 + -1x * -7) = x + 2 -6 + (56 + 7x) = x + 2 Combine like terms: -6 + 56 = 50 50 + 7x = x + 2 Reorder the terms: 50 + 7x = 2 + x Solving 50 + 7x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 50 + 7x + -1x = 2 + x + -1x Combine like terms: 7x + -1x = 6x 50 + 6x = 2 + x + -1x Combine like terms: x + -1x = 0 50 + 6x = 2 + 0 50 + 6x = 2 Add '-50' to each side of the equation. 50 + -50 + 6x = 2 + -50 Combine like terms: 50 + -50 = 0 0 + 6x = 2 + -50 6x = 2 + -50 Combine like terms: 2 + -50 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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