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Simplifying 9x + -2(3 + -5(4 + -2x)) = -17 + -1x 9x + -2(3 + (4 * -5 + -2x * -5)) = -17 + -1x 9x + -2(3 + (-20 + 10x)) = -17 + -1x Combine like terms: 3 + -20 = -17 9x + -2(-17 + 10x) = -17 + -1x 9x + (-17 * -2 + 10x * -2) = -17 + -1x 9x + (34 + -20x) = -17 + -1x Reorder the terms: 34 + 9x + -20x = -17 + -1x Combine like terms: 9x + -20x = -11x 34 + -11x = -17 + -1x Solving 34 + -11x = -17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 34 + -11x + x = -17 + -1x + x Combine like terms: -11x + x = -10x 34 + -10x = -17 + -1x + x Combine like terms: -1x + x = 0 34 + -10x = -17 + 0 34 + -10x = -17 Add '-34' to each side of the equation. 34 + -34 + -10x = -17 + -34 Combine like terms: 34 + -34 = 0 0 + -10x = -17 + -34 -10x = -17 + -34 Combine like terms: -17 + -34 = -51 -10x = -51 Divide each side by '-10'. x = 5.1 Simplifying x = 5.1
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