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Simplifying 3x + 5(7x + -3) = 175 Reorder the terms: 3x + 5(-3 + 7x) = 175 3x + (-3 * 5 + 7x * 5) = 175 3x + (-15 + 35x) = 175 Reorder the terms: -15 + 3x + 35x = 175 Combine like terms: 3x + 35x = 38x -15 + 38x = 175 Solving -15 + 38x = 175 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 38x = 175 + 15 Combine like terms: -15 + 15 = 0 0 + 38x = 175 + 15 38x = 175 + 15 Combine like terms: 175 + 15 = 190 38x = 190 Divide each side by '38'. x = 5 Simplifying x = 5
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