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Simplifying 100(x + -2) + -3(20x + -70) + -1(200 + -90x) = 0 Reorder the terms: 100(-2 + x) + -3(20x + -70) + -1(200 + -90x) = 0 (-2 * 100 + x * 100) + -3(20x + -70) + -1(200 + -90x) = 0 (-200 + 100x) + -3(20x + -70) + -1(200 + -90x) = 0 Reorder the terms: -200 + 100x + -3(-70 + 20x) + -1(200 + -90x) = 0 -200 + 100x + (-70 * -3 + 20x * -3) + -1(200 + -90x) = 0 -200 + 100x + (210 + -60x) + -1(200 + -90x) = 0 -200 + 100x + 210 + -60x + (200 * -1 + -90x * -1) = 0 -200 + 100x + 210 + -60x + (-200 + 90x) = 0 Reorder the terms: -200 + 210 + -200 + 100x + -60x + 90x = 0 Combine like terms: -200 + 210 = 10 10 + -200 + 100x + -60x + 90x = 0 Combine like terms: 10 + -200 = -190 -190 + 100x + -60x + 90x = 0 Combine like terms: 100x + -60x = 40x -190 + 40x + 90x = 0 Combine like terms: 40x + 90x = 130x -190 + 130x = 0 Solving -190 + 130x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '190' to each side of the equation. -190 + 190 + 130x = 0 + 190 Combine like terms: -190 + 190 = 0 0 + 130x = 0 + 190 130x = 0 + 190 Combine like terms: 0 + 190 = 190 130x = 190 Divide each side by '130'. x = 1.461538462 Simplifying x = 1.461538462
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