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Simplifying 27(13 + -18x) + -54(18 + -9x) + 388 + -1(-222 + -1x) = 2(x + -11) (13 * 27 + -18x * 27) + -54(18 + -9x) + 388 + -1(-222 + -1x) = 2(x + -11) (351 + -486x) + -54(18 + -9x) + 388 + -1(-222 + -1x) = 2(x + -11) 351 + -486x + (18 * -54 + -9x * -54) + 388 + -1(-222 + -1x) = 2(x + -11) 351 + -486x + (-972 + 486x) + 388 + -1(-222 + -1x) = 2(x + -11) 351 + -486x + -972 + 486x + 388 + (-222 * -1 + -1x * -1) = 2(x + -11) 351 + -486x + -972 + 486x + 388 + (222 + 1x) = 2(x + -11) Reorder the terms: 351 + -972 + 388 + 222 + -486x + 486x + 1x = 2(x + -11) Combine like terms: 351 + -972 = -621 -621 + 388 + 222 + -486x + 486x + 1x = 2(x + -11) Combine like terms: -621 + 388 = -233 -233 + 222 + -486x + 486x + 1x = 2(x + -11) Combine like terms: -233 + 222 = -11 -11 + -486x + 486x + 1x = 2(x + -11) Combine like terms: -486x + 486x = 0 -11 + 0 + 1x = 2(x + -11) -11 + 1x = 2(x + -11) Reorder the terms: -11 + 1x = 2(-11 + x) -11 + 1x = (-11 * 2 + x * 2) -11 + 1x = (-22 + 2x) Solving -11 + 1x = -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. -11 + 1x + -2x = -22 + 2x + -2x Combine like terms: 1x + -2x = -1x -11 + -1x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + -1x = -22 + 0 -11 + -1x = -22 Add '11' to each side of the equation. -11 + 11 + -1x = -22 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = -22 + 11 -1x = -22 + 11 Combine like terms: -22 + 11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11
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