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Simplifying 3x + 5(7x + -15) = 1 Reorder the terms: 3x + 5(-15 + 7x) = 1 3x + (-15 * 5 + 7x * 5) = 1 3x + (-75 + 35x) = 1 Reorder the terms: -75 + 3x + 35x = 1 Combine like terms: 3x + 35x = 38x -75 + 38x = 1 Solving -75 + 38x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + 38x = 1 + 75 Combine like terms: -75 + 75 = 0 0 + 38x = 1 + 75 38x = 1 + 75 Combine like terms: 1 + 75 = 76 38x = 76 Divide each side by '38'. x = 2 Simplifying x = 2
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