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Simplifying -11(x + 11) = 8(-1x + -11) Reorder the terms: -11(11 + x) = 8(-1x + -11) (11 * -11 + x * -11) = 8(-1x + -11) (-121 + -11x) = 8(-1x + -11) Reorder the terms: -121 + -11x = 8(-11 + -1x) -121 + -11x = (-11 * 8 + -1x * 8) -121 + -11x = (-88 + -8x) Solving -121 + -11x = -88 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -121 + -11x + 8x = -88 + -8x + 8x Combine like terms: -11x + 8x = -3x -121 + -3x = -88 + -8x + 8x Combine like terms: -8x + 8x = 0 -121 + -3x = -88 + 0 -121 + -3x = -88 Add '121' to each side of the equation. -121 + 121 + -3x = -88 + 121 Combine like terms: -121 + 121 = 0 0 + -3x = -88 + 121 -3x = -88 + 121 Combine like terms: -88 + 121 = 33 -3x = 33 Divide each side by '-3'. x = -11 Simplifying x = -11
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