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Simplifying 5(40x + -260) + -25(80 + -20x) = 226 Reorder the terms: 5(-260 + 40x) + -25(80 + -20x) = 226 (-260 * 5 + 40x * 5) + -25(80 + -20x) = 226 (-1300 + 200x) + -25(80 + -20x) = 226 -1300 + 200x + (80 * -25 + -20x * -25) = 226 -1300 + 200x + (-2000 + 500x) = 226 Reorder the terms: -1300 + -2000 + 200x + 500x = 226 Combine like terms: -1300 + -2000 = -3300 -3300 + 200x + 500x = 226 Combine like terms: 200x + 500x = 700x -3300 + 700x = 226 Solving -3300 + 700x = 226 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3300' to each side of the equation. -3300 + 3300 + 700x = 226 + 3300 Combine like terms: -3300 + 3300 = 0 0 + 700x = 226 + 3300 700x = 226 + 3300 Combine like terms: 226 + 3300 = 3526 700x = 3526 Divide each side by '700'. x = 5.037142857 Simplifying x = 5.037142857
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