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Simplifying 5x + 7(5x + -27) = 91 Reorder the terms: 5x + 7(-27 + 5x) = 91 5x + (-27 * 7 + 5x * 7) = 91 5x + (-189 + 35x) = 91 Reorder the terms: -189 + 5x + 35x = 91 Combine like terms: 5x + 35x = 40x -189 + 40x = 91 Solving -189 + 40x = 91 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '189' to each side of the equation. -189 + 189 + 40x = 91 + 189 Combine like terms: -189 + 189 = 0 0 + 40x = 91 + 189 40x = 91 + 189 Combine like terms: 91 + 189 = 280 40x = 280 Divide each side by '40'. x = 7 Simplifying x = 7
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