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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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