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Simplifying 12x + 4 = 11(x + -8) + 6 Reorder the terms: 4 + 12x = 11(x + -8) + 6 Reorder the terms: 4 + 12x = 11(-8 + x) + 6 4 + 12x = (-8 * 11 + x * 11) + 6 4 + 12x = (-88 + 11x) + 6 Reorder the terms: 4 + 12x = -88 + 6 + 11x Combine like terms: -88 + 6 = -82 4 + 12x = -82 + 11x Solving 4 + 12x = -82 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 4 + 12x + -11x = -82 + 11x + -11x Combine like terms: 12x + -11x = 1x 4 + 1x = -82 + 11x + -11x Combine like terms: 11x + -11x = 0 4 + 1x = -82 + 0 4 + 1x = -82 Add '-4' to each side of the equation. 4 + -4 + 1x = -82 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -82 + -4 1x = -82 + -4 Combine like terms: -82 + -4 = -86 1x = -86 Divide each side by '1'. x = -86 Simplifying x = -86
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