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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 = 15x 5 + 15x + 15x = 245 Combine like terms: 15x + 15x = 30x 5 + 30x = 245 Solving 5 + 30x = 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 + 30x = 245 + -5 Combine like terms: 5 + -5 = 0 0 + 30x = 245 + -5 30x = 245 + -5 Combine like terms: 245 + -5 = 240 30x = 240 Divide each side by '30'. x = 8 Simplifying x = 8
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