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Simplifying -5(x + -13) + -7(x + 20) = 91 Reorder the terms: -5(-13 + x) + -7(x + 20) = 91 (-13 * -5 + x * -5) + -7(x + 20) = 91 (65 + -5x) + -7(x + 20) = 91 Reorder the terms: 65 + -5x + -7(20 + x) = 91 65 + -5x + (20 * -7 + x * -7) = 91 65 + -5x + (-140 + -7x) = 91 Reorder the terms: 65 + -140 + -5x + -7x = 91 Combine like terms: 65 + -140 = -75 -75 + -5x + -7x = 91 Combine like terms: -5x + -7x = -12x -75 + -12x = 91 Solving -75 + -12x = 91 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 + -12x = 91 + 75 Combine like terms: -75 + 75 = 0 0 + -12x = 91 + 75 -12x = 91 + 75 Combine like terms: 91 + 75 = 166 -12x = 166 Divide each side by '-12'. x = -13.83333333 Simplifying x = -13.83333333
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