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Simplifying [20x + 15x] + [20(x + -1) + 15(x + -1)] = 245 Combine like terms: 20x + 15x = 35x [35x] + [20(x + -1) + 15(x + -1)] = 245 [35x] + [20(x + -1) + 15(x + -1)] = 245 Reorder the terms: [35x] + [20(-1 + x) + 15(x + -1)] = 245 [35x] + [(-1 * 20 + x * 20) + 15(x + -1)] = 245 [35x] + [(-20 + 20x) + 15(x + -1)] = 245 Reorder the terms: [35x] + [-20 + 20x + 15(-1 + x)] = 245 [35x] + [-20 + 20x + (-1 * 15 + x * 15)] = 245 [35x] + [-20 + 20x + (-15 + 15x)] = 245 Reorder the terms: [35x] + [-20 + -15 + 20x + 15x] = 245 Combine like terms: -20 + -15 = -35 [35x] + [-35 + 20x + 15x] = 245 Combine like terms: 20x + 15x = 35x [35x] + [-35 + 35x] = 245 Remove brackets around [-35 + 35x] [35x] + -35 + 35x = 245 Reorder the terms: -35 + [35x] + 35x = 245 Combine like terms: [35x] + 35x = 70x -35 + 70x = 245 Solving -35 + 70x = 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 + 70x = 245 + 35 Combine like terms: -35 + 35 = 0 0 + 70x = 245 + 35 70x = 245 + 35 Combine like terms: 245 + 35 = 280 70x = 280 Divide each side by '70'. x = 4 Simplifying x = 4
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