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Simplifying 9[9 + -1(-5x + -5)] = 270x + 351 Reorder the terms: 9[9 + -1(-5 + -5x)] = 270x + 351 9[9 + (-5 * -1 + -5x * -1)] = 270x + 351 9[9 + (5 + 5x)] = 270x + 351 Combine like terms: 9 + 5 = 14 9[14 + 5x] = 270x + 351 [14 * 9 + 5x * 9] = 270x + 351 [126 + 45x] = 270x + 351 Reorder the terms: 126 + 45x = 351 + 270x Solving 126 + 45x = 351 + 270x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-270x' to each side of the equation. 126 + 45x + -270x = 351 + 270x + -270x Combine like terms: 45x + -270x = -225x 126 + -225x = 351 + 270x + -270x Combine like terms: 270x + -270x = 0 126 + -225x = 351 + 0 126 + -225x = 351 Add '-126' to each side of the equation. 126 + -126 + -225x = 351 + -126 Combine like terms: 126 + -126 = 0 0 + -225x = 351 + -126 -225x = 351 + -126 Combine like terms: 351 + -126 = 225 -225x = 225 Divide each side by '-225'. x = -1 Simplifying x = -1
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