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Simplifying -9 + -7x = -1(8x + 1) Reorder the terms: -9 + -7x = -1(1 + 8x) -9 + -7x = (1 * -1 + 8x * -1) -9 + -7x = (-1 + -8x) Solving -9 + -7x = -1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9 + -7x + 8x = -1 + -8x + 8x Combine like terms: -7x + 8x = 1x -9 + 1x = -1 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 1x = -1 + 0 -9 + 1x = -1 Add '9' to each side of the equation. -9 + 9 + 1x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -1 + 9 1x = -1 + 9 Combine like terms: -1 + 9 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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