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Simplifying 9(3x + -5) = 8(35 + -1x) + 25 Reorder the terms: 9(-5 + 3x) = 8(35 + -1x) + 25 (-5 * 9 + 3x * 9) = 8(35 + -1x) + 25 (-45 + 27x) = 8(35 + -1x) + 25 -45 + 27x = (35 * 8 + -1x * 8) + 25 -45 + 27x = (280 + -8x) + 25 Reorder the terms: -45 + 27x = 280 + 25 + -8x Combine like terms: 280 + 25 = 305 -45 + 27x = 305 + -8x Solving -45 + 27x = 305 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -45 + 27x + 8x = 305 + -8x + 8x Combine like terms: 27x + 8x = 35x -45 + 35x = 305 + -8x + 8x Combine like terms: -8x + 8x = 0 -45 + 35x = 305 + 0 -45 + 35x = 305 Add '45' to each side of the equation. -45 + 45 + 35x = 305 + 45 Combine like terms: -45 + 45 = 0 0 + 35x = 305 + 45 35x = 305 + 45 Combine like terms: 305 + 45 = 350 35x = 350 Divide each side by '35'. x = 10 Simplifying x = 10
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