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Simplifying 12x + -1 = 11(x + -8) + 4 Reorder the terms: -1 + 12x = 11(x + -8) + 4 Reorder the terms: -1 + 12x = 11(-8 + x) + 4 -1 + 12x = (-8 * 11 + x * 11) + 4 -1 + 12x = (-88 + 11x) + 4 Reorder the terms: -1 + 12x = -88 + 4 + 11x Combine like terms: -88 + 4 = -84 -1 + 12x = -84 + 11x Solving -1 + 12x = -84 + 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. -1 + 12x + -11x = -84 + 11x + -11x Combine like terms: 12x + -11x = 1x -1 + 1x = -84 + 11x + -11x Combine like terms: 11x + -11x = 0 -1 + 1x = -84 + 0 -1 + 1x = -84 Add '1' to each side of the equation. -1 + 1 + 1x = -84 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = -84 + 1 1x = -84 + 1 Combine like terms: -84 + 1 = -83 1x = -83 Divide each side by '1'. x = -83 Simplifying x = -83
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