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Simplifying 20x + 15x + 20(x + -1) + 15(x + -1) = 0 Reorder the terms: 20x + 15x + 20(-1 + x) + 15(x + -1) = 0 20x + 15x + (-1 * 20 + x * 20) + 15(x + -1) = 0 20x + 15x + (-20 + 20x) + 15(x + -1) = 0 Reorder the terms: 20x + 15x + -20 + 20x + 15(-1 + x) = 0 20x + 15x + -20 + 20x + (-1 * 15 + x * 15) = 0 20x + 15x + -20 + 20x + (-15 + 15x) = 0 Reorder the terms: -20 + -15 + 20x + 15x + 20x + 15x = 0 Combine like terms: -20 + -15 = -35 -35 + 20x + 15x + 20x + 15x = 0 Combine like terms: 20x + 15x = 35x -35 + 35x + 20x + 15x = 0 Combine like terms: 35x + 20x = 55x -35 + 55x + 15x = 0 Combine like terms: 55x + 15x = 70x -35 + 70x = 0 Solving -35 + 70x = 0 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 = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 70x = 0 + 35 70x = 0 + 35 Combine like terms: 0 + 35 = 35 70x = 35 Divide each side by '70'. x = 0.5 Simplifying x = 0.5
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