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Simplifying 9 + -7(2x + 8) + 2 = -17x Reorder the terms: 9 + -7(8 + 2x) + 2 = -17x 9 + (8 * -7 + 2x * -7) + 2 = -17x 9 + (-56 + -14x) + 2 = -17x Reorder the terms: 9 + -56 + 2 + -14x = -17x Combine like terms: 9 + -56 = -47 -47 + 2 + -14x = -17x Combine like terms: -47 + 2 = -45 -45 + -14x = -17x Solving -45 + -14x = -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. -45 + -14x + 17x = -17x + 17x Combine like terms: -14x + 17x = 3x -45 + 3x = -17x + 17x Combine like terms: -17x + 17x = 0 -45 + 3x = 0 Add '45' to each side of the equation. -45 + 45 + 3x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = 0 + 45 3x = 0 + 45 Combine like terms: 0 + 45 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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