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Simplifying -1(x + 7) = (-6x) + 8 Reorder the terms: -1(7 + x) = (-6x) + 8 (7 * -1 + x * -1) = (-6x) + 8 (-7 + -1x) = (-6x) + 8 Reorder the terms: -7 + -1x = 8 + (-6x) Solving -7 + -1x = 8 + (-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 + -1x + (6x) = 8 + (-6x) + (6x) Combine like terms: -1x + (6x) = 5x -7 + 5x = 8 + (-6x) + (6x) Combine like terms: (-6x) + (6x) = 0 -7 + 5x = 8 + 0 -7 + 5x = 8 Add '7' to each side of the equation. -7 + 7 + 5x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 8 + 7 5x = 8 + 7 Combine like terms: 8 + 7 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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