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Simplifying 5(4x + 17) = -9(x + -5) Reorder the terms: 5(17 + 4x) = -9(x + -5) (17 * 5 + 4x * 5) = -9(x + -5) (85 + 20x) = -9(x + -5) Reorder the terms: 85 + 20x = -9(-5 + x) 85 + 20x = (-5 * -9 + x * -9) 85 + 20x = (45 + -9x) Solving 85 + 20x = 45 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 85 + 20x + 9x = 45 + -9x + 9x Combine like terms: 20x + 9x = 29x 85 + 29x = 45 + -9x + 9x Combine like terms: -9x + 9x = 0 85 + 29x = 45 + 0 85 + 29x = 45 Add '-85' to each side of the equation. 85 + -85 + 29x = 45 + -85 Combine like terms: 85 + -85 = 0 0 + 29x = 45 + -85 29x = 45 + -85 Combine like terms: 45 + -85 = -40 29x = -40 Divide each side by '29'. x = -1.379310345 Simplifying x = -1.379310345
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