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Simplifying 7x + 5(7x + -15) = 177 Reorder the terms: 7x + 5(-15 + 7x) = 177 7x + (-15 * 5 + 7x * 5) = 177 7x + (-75 + 35x) = 177 Reorder the terms: -75 + 7x + 35x = 177 Combine like terms: 7x + 35x = 42x -75 + 42x = 177 Solving -75 + 42x = 177 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 + 42x = 177 + 75 Combine like terms: -75 + 75 = 0 0 + 42x = 177 + 75 42x = 177 + 75 Combine like terms: 177 + 75 = 252 42x = 252 Divide each side by '42'. x = 6 Simplifying x = 6
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