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Simplifying 5(5x + -10) + -5 + 3(5x + 10) = 375 Reorder the terms: 5(-10 + 5x) + -5 + 3(5x + 10) = 375 (-10 * 5 + 5x * 5) + -5 + 3(5x + 10) = 375 (-50 + 25x) + -5 + 3(5x + 10) = 375 Reorder the terms: -50 + 25x + -5 + 3(10 + 5x) = 375 -50 + 25x + -5 + (10 * 3 + 5x * 3) = 375 -50 + 25x + -5 + (30 + 15x) = 375 Reorder the terms: -50 + -5 + 30 + 25x + 15x = 375 Combine like terms: -50 + -5 = -55 -55 + 30 + 25x + 15x = 375 Combine like terms: -55 + 30 = -25 -25 + 25x + 15x = 375 Combine like terms: 25x + 15x = 40x -25 + 40x = 375 Solving -25 + 40x = 375 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 + 40x = 375 + 25 Combine like terms: -25 + 25 = 0 0 + 40x = 375 + 25 40x = 375 + 25 Combine like terms: 375 + 25 = 400 40x = 400 Divide each side by '40'. x = 10 Simplifying x = 10
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