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Simplifying -12(x + 6) = 8 + -8(10 + 11x) Reorder the terms: -12(6 + x) = 8 + -8(10 + 11x) (6 * -12 + x * -12) = 8 + -8(10 + 11x) (-72 + -12x) = 8 + -8(10 + 11x) -72 + -12x = 8 + (10 * -8 + 11x * -8) -72 + -12x = 8 + (-80 + -88x) Combine like terms: 8 + -80 = -72 -72 + -12x = -72 + -88x Add '72' to each side of the equation. -72 + 72 + -12x = -72 + 72 + -88x Combine like terms: -72 + 72 = 0 0 + -12x = -72 + 72 + -88x -12x = -72 + 72 + -88x Combine like terms: -72 + 72 = 0 -12x = 0 + -88x -12x = -88x Solving -12x = -88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '88x' to each side of the equation. -12x + 88x = -88x + 88x Combine like terms: -12x + 88x = 76x 76x = -88x + 88x Combine like terms: -88x + 88x = 0 76x = 0 Divide each side by '76'. x = 0 Simplifying x = 0
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