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Simplifying 20x + 15x + 10(x + -1) + 15(x + -1) = 245 Reorder the terms: 20x + 15x + 10(-1 + x) + 15(x + -1) = 245 20x + 15x + (-1 * 10 + x * 10) + 15(x + -1) = 245 20x + 15x + (-10 + 10x) + 15(x + -1) = 245 Reorder the terms: 20x + 15x + -10 + 10x + 15(-1 + x) = 245 20x + 15x + -10 + 10x + (-1 * 15 + x * 15) = 245 20x + 15x + -10 + 10x + (-15 + 15x) = 245 Reorder the terms: -10 + -15 + 20x + 15x + 10x + 15x = 245 Combine like terms: -10 + -15 = -25 -25 + 20x + 15x + 10x + 15x = 245 Combine like terms: 20x + 15x = 35x -25 + 35x + 10x + 15x = 245 Combine like terms: 35x + 10x = 45x -25 + 45x + 15x = 245 Combine like terms: 45x + 15x = 60x -25 + 60x = 245 Solving -25 + 60x = 245 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 60x = 245 + 25 Combine like terms: -25 + 25 = 0 0 + 60x = 245 + 25 60x = 245 + 25 Combine like terms: 245 + 25 = 270 60x = 270 Divide each side by '60'. x = 4.5 Simplifying x = 4.5
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