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Simplifying -12(1 + 11x) + 9x = 2(x + -6) (1 * -12 + 11x * -12) + 9x = 2(x + -6) (-12 + -132x) + 9x = 2(x + -6) Combine like terms: -132x + 9x = -123x -12 + -123x = 2(x + -6) Reorder the terms: -12 + -123x = 2(-6 + x) -12 + -123x = (-6 * 2 + x * 2) -12 + -123x = (-12 + 2x) Add '12' to each side of the equation. -12 + 12 + -123x = -12 + 12 + 2x Combine like terms: -12 + 12 = 0 0 + -123x = -12 + 12 + 2x -123x = -12 + 12 + 2x Combine like terms: -12 + 12 = 0 -123x = 0 + 2x -123x = 2x Solving -123x = 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. -123x + -2x = 2x + -2x Combine like terms: -123x + -2x = -125x -125x = 2x + -2x Combine like terms: 2x + -2x = 0 -125x = 0 Divide each side by '-125'. x = 0 Simplifying x = 0
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