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Simplifying x + -5 = 71 + -11(x + 8) Reorder the terms: -5 + x = 71 + -11(x + 8) Reorder the terms: -5 + x = 71 + -11(8 + x) -5 + x = 71 + (8 * -11 + x * -11) -5 + x = 71 + (-88 + -11x) Combine like terms: 71 + -88 = -17 -5 + x = -17 + -11x Solving -5 + x = -17 + -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 + x + 11x = -17 + -11x + 11x Combine like terms: x + 11x = 12x -5 + 12x = -17 + -11x + 11x Combine like terms: -11x + 11x = 0 -5 + 12x = -17 + 0 -5 + 12x = -17 Add '5' to each side of the equation. -5 + 5 + 12x = -17 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = -17 + 5 12x = -17 + 5 Combine like terms: -17 + 5 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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