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Simplifying 27(13 + -18x) + -54(18 + -9x) + 388(-222 + -1x) = 2(x + -11) (13 * 27 + -18x * 27) + -54(18 + -9x) + 388(-222 + -1x) = 2(x + -11) (351 + -486x) + -54(18 + -9x) + 388(-222 + -1x) = 2(x + -11) 351 + -486x + (18 * -54 + -9x * -54) + 388(-222 + -1x) = 2(x + -11) 351 + -486x + (-972 + 486x) + 388(-222 + -1x) = 2(x + -11) 351 + -486x + -972 + 486x + (-222 * 388 + -1x * 388) = 2(x + -11) 351 + -486x + -972 + 486x + (-86136 + -388x) = 2(x + -11) Reorder the terms: 351 + -972 + -86136 + -486x + 486x + -388x = 2(x + -11) Combine like terms: 351 + -972 = -621 -621 + -86136 + -486x + 486x + -388x = 2(x + -11) Combine like terms: -621 + -86136 = -86757 -86757 + -486x + 486x + -388x = 2(x + -11) Combine like terms: -486x + 486x = 0 -86757 + 0 + -388x = 2(x + -11) -86757 + -388x = 2(x + -11) Reorder the terms: -86757 + -388x = 2(-11 + x) -86757 + -388x = (-11 * 2 + x * 2) -86757 + -388x = (-22 + 2x) Solving -86757 + -388x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -86757 + -388x + -2x = -22 + 2x + -2x Combine like terms: -388x + -2x = -390x -86757 + -390x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -86757 + -390x = -22 + 0 -86757 + -390x = -22 Add '86757' to each side of the equation. -86757 + 86757 + -390x = -22 + 86757 Combine like terms: -86757 + 86757 = 0 0 + -390x = -22 + 86757 -390x = -22 + 86757 Combine like terms: -22 + 86757 = 86735 -390x = 86735 Divide each side by '-390'. x = -222.3974359 Simplifying x = -222.3974359
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