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Simplifying 11(x + -11) + -2 = 27x + -315 Reorder the terms: 11(-11 + x) + -2 = 27x + -315 (-11 * 11 + x * 11) + -2 = 27x + -315 (-121 + 11x) + -2 = 27x + -315 Reorder the terms: -121 + -2 + 11x = 27x + -315 Combine like terms: -121 + -2 = -123 -123 + 11x = 27x + -315 Reorder the terms: -123 + 11x = -315 + 27x Solving -123 + 11x = -315 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -123 + 11x + -27x = -315 + 27x + -27x Combine like terms: 11x + -27x = -16x -123 + -16x = -315 + 27x + -27x Combine like terms: 27x + -27x = 0 -123 + -16x = -315 + 0 -123 + -16x = -315 Add '123' to each side of the equation. -123 + 123 + -16x = -315 + 123 Combine like terms: -123 + 123 = 0 0 + -16x = -315 + 123 -16x = -315 + 123 Combine like terms: -315 + 123 = -192 -16x = -192 Divide each side by '-16'. x = 12 Simplifying x = 12
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