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Simplifying 7(7x + -27) + 27(77x + 727) + 72(22x + -277) + 22(7x + -777) = 9464 Reorder the terms: 7(-27 + 7x) + 27(77x + 727) + 72(22x + -277) + 22(7x + -777) = 9464 (-27 * 7 + 7x * 7) + 27(77x + 727) + 72(22x + -277) + 22(7x + -777) = 9464 (-189 + 49x) + 27(77x + 727) + 72(22x + -277) + 22(7x + -777) = 9464 Reorder the terms: -189 + 49x + 27(727 + 77x) + 72(22x + -277) + 22(7x + -777) = 9464 -189 + 49x + (727 * 27 + 77x * 27) + 72(22x + -277) + 22(7x + -777) = 9464 -189 + 49x + (19629 + 2079x) + 72(22x + -277) + 22(7x + -777) = 9464 Reorder the terms: -189 + 49x + 19629 + 2079x + 72(-277 + 22x) + 22(7x + -777) = 9464 -189 + 49x + 19629 + 2079x + (-277 * 72 + 22x * 72) + 22(7x + -777) = 9464 -189 + 49x + 19629 + 2079x + (-19944 + 1584x) + 22(7x + -777) = 9464 Reorder the terms: -189 + 49x + 19629 + 2079x + -19944 + 1584x + 22(-777 + 7x) = 9464 -189 + 49x + 19629 + 2079x + -19944 + 1584x + (-777 * 22 + 7x * 22) = 9464 -189 + 49x + 19629 + 2079x + -19944 + 1584x + (-17094 + 154x) = 9464 Reorder the terms: -189 + 19629 + -19944 + -17094 + 49x + 2079x + 1584x + 154x = 9464 Combine like terms: -189 + 19629 = 19440 19440 + -19944 + -17094 + 49x + 2079x + 1584x + 154x = 9464 Combine like terms: 19440 + -19944 = -504 -504 + -17094 + 49x + 2079x + 1584x + 154x = 9464 Combine like terms: -504 + -17094 = -17598 -17598 + 49x + 2079x + 1584x + 154x = 9464 Combine like terms: 49x + 2079x = 2128x -17598 + 2128x + 1584x + 154x = 9464 Combine like terms: 2128x + 1584x = 3712x -17598 + 3712x + 154x = 9464 Combine like terms: 3712x + 154x = 3866x -17598 + 3866x = 9464 Solving -17598 + 3866x = 9464 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17598' to each side of the equation. -17598 + 17598 + 3866x = 9464 + 17598 Combine like terms: -17598 + 17598 = 0 0 + 3866x = 9464 + 17598 3866x = 9464 + 17598 Combine like terms: 9464 + 17598 = 27062 3866x = 27062 Divide each side by '3866'. x = 7 Simplifying x = 7
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