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Simplifying 33(17x + -16) + 44(18x + -19) = 1200100 Reorder the terms: 33(-16 + 17x) + 44(18x + -19) = 1200100 (-16 * 33 + 17x * 33) + 44(18x + -19) = 1200100 (-528 + 561x) + 44(18x + -19) = 1200100 Reorder the terms: -528 + 561x + 44(-19 + 18x) = 1200100 -528 + 561x + (-19 * 44 + 18x * 44) = 1200100 -528 + 561x + (-836 + 792x) = 1200100 Reorder the terms: -528 + -836 + 561x + 792x = 1200100 Combine like terms: -528 + -836 = -1364 -1364 + 561x + 792x = 1200100 Combine like terms: 561x + 792x = 1353x -1364 + 1353x = 1200100 Solving -1364 + 1353x = 1200100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1364' to each side of the equation. -1364 + 1364 + 1353x = 1200100 + 1364 Combine like terms: -1364 + 1364 = 0 0 + 1353x = 1200100 + 1364 1353x = 1200100 + 1364 Combine like terms: 1200100 + 1364 = 1201464 1353x = 1201464 Divide each side by '1353'. x = 888 Simplifying x = 888
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