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Simplifying 5(-3x + 7 + -5) + 17 = 9(10x + -9) Reorder the terms: 5(7 + -5 + -3x) + 17 = 9(10x + -9) Combine like terms: 7 + -5 = 2 5(2 + -3x) + 17 = 9(10x + -9) (2 * 5 + -3x * 5) + 17 = 9(10x + -9) (10 + -15x) + 17 = 9(10x + -9) Reorder the terms: 10 + 17 + -15x = 9(10x + -9) Combine like terms: 10 + 17 = 27 27 + -15x = 9(10x + -9) Reorder the terms: 27 + -15x = 9(-9 + 10x) 27 + -15x = (-9 * 9 + 10x * 9) 27 + -15x = (-81 + 90x) Solving 27 + -15x = -81 + 90x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 27 + -15x + -90x = -81 + 90x + -90x Combine like terms: -15x + -90x = -105x 27 + -105x = -81 + 90x + -90x Combine like terms: 90x + -90x = 0 27 + -105x = -81 + 0 27 + -105x = -81 Add '-27' to each side of the equation. 27 + -27 + -105x = -81 + -27 Combine like terms: 27 + -27 = 0 0 + -105x = -81 + -27 -105x = -81 + -27 Combine like terms: -81 + -27 = -108 -105x = -108 Divide each side by '-105'. x = 1.028571429 Simplifying x = 1.028571429
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