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Simplifying 20x + 15x + 20(x + -1) + -15(x + -1) = 245 Reorder the terms: 20x + 15x + 20(-1 + x) + -15(x + -1) = 245 20x + 15x + (-1 * 20 + x * 20) + -15(x + -1) = 245 20x + 15x + (-20 + 20x) + -15(x + -1) = 245 Reorder the terms: 20x + 15x + -20 + 20x + -15(-1 + x) = 245 20x + 15x + -20 + 20x + (-1 * -15 + x * -15) = 245 20x + 15x + -20 + 20x + (15 + -15x) = 245 Reorder the terms: -20 + 15 + 20x + 15x + 20x + -15x = 245 Combine like terms: -20 + 15 = -5 -5 + 20x + 15x + 20x + -15x = 245 Combine like terms: 20x + 15x = 35x -5 + 35x + 20x + -15x = 245 Combine like terms: 35x + 20x = 55x -5 + 55x + -15x = 245 Combine like terms: 55x + -15x = 40x -5 + 40x = 245 Solving -5 + 40x = 245 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 40x = 245 + 5 Combine like terms: -5 + 5 = 0 0 + 40x = 245 + 5 40x = 245 + 5 Combine like terms: 245 + 5 = 250 40x = 250 Divide each side by '40'. x = 6.25 Simplifying x = 6.25
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