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Simplifying 25(1 + -1x) = -8x + -9 (1 * 25 + -1x * 25) = -8x + -9 (25 + -25x) = -8x + -9 Reorder the terms: 25 + -25x = -9 + -8x Solving 25 + -25x = -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. 25 + -25x + 8x = -9 + -8x + 8x Combine like terms: -25x + 8x = -17x 25 + -17x = -9 + -8x + 8x Combine like terms: -8x + 8x = 0 25 + -17x = -9 + 0 25 + -17x = -9 Add '-25' to each side of the equation. 25 + -25 + -17x = -9 + -25 Combine like terms: 25 + -25 = 0 0 + -17x = -9 + -25 -17x = -9 + -25 Combine like terms: -9 + -25 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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