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Simplifying 20x + 15 + 20(x + -1) + 15(x + -1) = 245 Reorder the terms: 20x + 15 + 20(-1 + x) + 15(x + -1) = 245 20x + 15 + (-1 * 20 + x * 20) + 15(x + -1) = 245 20x + 15 + (-20 + 20x) + 15(x + -1) = 245 Reorder the terms: 20x + 15 + -20 + 20x + 15(-1 + x) = 245 20x + 15 + -20 + 20x + (-1 * 15 + x * 15) = 245 20x + 15 + -20 + 20x + (-15 + 15x) = 245 Reorder the terms: 15 + -20 + -15 + 20x + 20x + 15x = 245 Combine like terms: 15 + -20 = -5 -5 + -15 + 20x + 20x + 15x = 245 Combine like terms: -5 + -15 = -20 -20 + 20x + 20x + 15x = 245 Combine like terms: 20x + 20x = 40x -20 + 40x + 15x = 245 Combine like terms: 40x + 15x = 55x -20 + 55x = 245 Solving -20 + 55x = 245 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 55x = 245 + 20 Combine like terms: -20 + 20 = 0 0 + 55x = 245 + 20 55x = 245 + 20 Combine like terms: 245 + 20 = 265 55x = 265 Divide each side by '55'. x = 4.818181818 Simplifying x = 4.818181818
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