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Simplifying 12x + -5 = 11(x + -8) + -4 Reorder the terms: -5 + 12x = 11(x + -8) + -4 Reorder the terms: -5 + 12x = 11(-8 + x) + -4 -5 + 12x = (-8 * 11 + x * 11) + -4 -5 + 12x = (-88 + 11x) + -4 Reorder the terms: -5 + 12x = -88 + -4 + 11x Combine like terms: -88 + -4 = -92 -5 + 12x = -92 + 11x Solving -5 + 12x = -92 + 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. -5 + 12x + -11x = -92 + 11x + -11x Combine like terms: 12x + -11x = 1x -5 + 1x = -92 + 11x + -11x Combine like terms: 11x + -11x = 0 -5 + 1x = -92 + 0 -5 + 1x = -92 Add '5' to each side of the equation. -5 + 5 + 1x = -92 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -92 + 5 1x = -92 + 5 Combine like terms: -92 + 5 = -87 1x = -87 Divide each side by '1'. x = -87 Simplifying x = -87
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