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Simplifying 3x + 7(5x + -13) = 175 Reorder the terms: 3x + 7(-13 + 5x) = 175 3x + (-13 * 7 + 5x * 7) = 175 3x + (-91 + 35x) = 175 Reorder the terms: -91 + 3x + 35x = 175 Combine like terms: 3x + 35x = 38x -91 + 38x = 175 Solving -91 + 38x = 175 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '91' to each side of the equation. -91 + 91 + 38x = 175 + 91 Combine like terms: -91 + 91 = 0 0 + 38x = 175 + 91 38x = 175 + 91 Combine like terms: 175 + 91 = 266 38x = 266 Divide each side by '38'. x = 7 Simplifying x = 7
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