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Simplifying 8x + 9 = -4(4 + 4x) + -1x Reorder the terms: 9 + 8x = -4(4 + 4x) + -1x 9 + 8x = (4 * -4 + 4x * -4) + -1x 9 + 8x = (-16 + -16x) + -1x Combine like terms: -16x + -1x = -17x 9 + 8x = -16 + -17x Solving 9 + 8x = -16 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 9 + 8x + 17x = -16 + -17x + 17x Combine like terms: 8x + 17x = 25x 9 + 25x = -16 + -17x + 17x Combine like terms: -17x + 17x = 0 9 + 25x = -16 + 0 9 + 25x = -16 Add '-9' to each side of the equation. 9 + -9 + 25x = -16 + -9 Combine like terms: 9 + -9 = 0 0 + 25x = -16 + -9 25x = -16 + -9 Combine like terms: -16 + -9 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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