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Simplifying (5x + -13) + (5(5x + -13)) = 140 Reorder the terms: (-13 + 5x) + (5(5x + -13)) = 140 Remove parenthesis around (-13 + 5x) -13 + 5x + (5(5x + -13)) = 140 Reorder the terms: -13 + 5x + (5(-13 + 5x)) = 140 -13 + 5x + ((-13 * 5 + 5x * 5)) = 140 -13 + 5x + ((-65 + 25x)) = 140 -13 + 5x + (-65 + 25x) = 140 Remove parenthesis around (-65 + 25x) -13 + 5x + -65 + 25x = 140 Reorder the terms: -13 + -65 + 5x + 25x = 140 Combine like terms: -13 + -65 = -78 -78 + 5x + 25x = 140 Combine like terms: 5x + 25x = 30x -78 + 30x = 140 Solving -78 + 30x = 140 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 30x = 140 + 78 Combine like terms: -78 + 78 = 0 0 + 30x = 140 + 78 30x = 140 + 78 Combine like terms: 140 + 78 = 218 30x = 218 Divide each side by '30'. x = 7.266666667 Simplifying x = 7.266666667
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