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Simplifying -1(2x + 1) = 8x + 9 Reorder the terms: -1(1 + 2x) = 8x + 9 (1 * -1 + 2x * -1) = 8x + 9 (-1 + -2x) = 8x + 9 Reorder the terms: -1 + -2x = 9 + 8x Solving -1 + -2x = 9 + 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. -1 + -2x + -8x = 9 + 8x + -8x Combine like terms: -2x + -8x = -10x -1 + -10x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -10x = 9 + 0 -1 + -10x = 9 Add '1' to each side of the equation. -1 + 1 + -10x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = 9 + 1 -10x = 9 + 1 Combine like terms: 9 + 1 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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