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Simplifying 20(x + -1) + 15(x + -1) = 245 Reorder the terms: 20(-1 + x) + 15(x + -1) = 245 (-1 * 20 + x * 20) + 15(x + -1) = 245 (-20 + 20x) + 15(x + -1) = 245 Reorder the terms: -20 + 20x + 15(-1 + x) = 245 -20 + 20x + (-1 * 15 + x * 15) = 245 -20 + 20x + (-15 + 15x) = 245 Reorder the terms: -20 + -15 + 20x + 15x = 245 Combine like terms: -20 + -15 = -35 -35 + 20x + 15x = 245 Combine like terms: 20x + 15x = 35x -35 + 35x = 245 Solving -35 + 35x = 245 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 35x = 245 + 35 Combine like terms: -35 + 35 = 0 0 + 35x = 245 + 35 35x = 245 + 35 Combine like terms: 245 + 35 = 280 35x = 280 Divide each side by '35'. x = 8 Simplifying x = 8
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