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Simplifying -11x + -83 = x + 97 Reorder the terms: -83 + -11x = x + 97 Reorder the terms: -83 + -11x = 97 + x Solving -83 + -11x = 97 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -83 + -11x + -1x = 97 + x + -1x Combine like terms: -11x + -1x = -12x -83 + -12x = 97 + x + -1x Combine like terms: x + -1x = 0 -83 + -12x = 97 + 0 -83 + -12x = 97 Add '83' to each side of the equation. -83 + 83 + -12x = 97 + 83 Combine like terms: -83 + 83 = 0 0 + -12x = 97 + 83 -12x = 97 + 83 Combine like terms: 97 + 83 = 180 -12x = 180 Divide each side by '-12'. x = -15 Simplifying x = -15
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