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Simplifying 15x + 10x + 15(x + -1) + 10(x + -1) = 225 Reorder the terms: 15x + 10x + 15(-1 + x) + 10(x + -1) = 225 15x + 10x + (-1 * 15 + x * 15) + 10(x + -1) = 225 15x + 10x + (-15 + 15x) + 10(x + -1) = 225 Reorder the terms: 15x + 10x + -15 + 15x + 10(-1 + x) = 225 15x + 10x + -15 + 15x + (-1 * 10 + x * 10) = 225 15x + 10x + -15 + 15x + (-10 + 10x) = 225 Reorder the terms: -15 + -10 + 15x + 10x + 15x + 10x = 225 Combine like terms: -15 + -10 = -25 -25 + 15x + 10x + 15x + 10x = 225 Combine like terms: 15x + 10x = 25x -25 + 25x + 15x + 10x = 225 Combine like terms: 25x + 15x = 40x -25 + 40x + 10x = 225 Combine like terms: 40x + 10x = 50x -25 + 50x = 225 Solving -25 + 50x = 225 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 50x = 225 + 25 Combine like terms: -25 + 25 = 0 0 + 50x = 225 + 25 50x = 225 + 25 Combine like terms: 225 + 25 = 250 50x = 250 Divide each side by '50'. x = 5 Simplifying x = 5
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