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Simplifying -6 + 5(5x + -4) = 8 + -5(5x + -9) Reorder the terms: -6 + 5(-4 + 5x) = 8 + -5(5x + -9) -6 + (-4 * 5 + 5x * 5) = 8 + -5(5x + -9) -6 + (-20 + 25x) = 8 + -5(5x + -9) Combine like terms: -6 + -20 = -26 -26 + 25x = 8 + -5(5x + -9) Reorder the terms: -26 + 25x = 8 + -5(-9 + 5x) -26 + 25x = 8 + (-9 * -5 + 5x * -5) -26 + 25x = 8 + (45 + -25x) Combine like terms: 8 + 45 = 53 -26 + 25x = 53 + -25x Solving -26 + 25x = 53 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -26 + 25x + 25x = 53 + -25x + 25x Combine like terms: 25x + 25x = 50x -26 + 50x = 53 + -25x + 25x Combine like terms: -25x + 25x = 0 -26 + 50x = 53 + 0 -26 + 50x = 53 Add '26' to each side of the equation. -26 + 26 + 50x = 53 + 26 Combine like terms: -26 + 26 = 0 0 + 50x = 53 + 26 50x = 53 + 26 Combine like terms: 53 + 26 = 79 50x = 79 Divide each side by '50'. x = 1.58 Simplifying x = 1.58
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