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Simplifying -2x + -51 = 102 + -11x Reorder the terms: -51 + -2x = 102 + -11x Solving -51 + -2x = 102 + -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. -51 + -2x + 11x = 102 + -11x + 11x Combine like terms: -2x + 11x = 9x -51 + 9x = 102 + -11x + 11x Combine like terms: -11x + 11x = 0 -51 + 9x = 102 + 0 -51 + 9x = 102 Add '51' to each side of the equation. -51 + 51 + 9x = 102 + 51 Combine like terms: -51 + 51 = 0 0 + 9x = 102 + 51 9x = 102 + 51 Combine like terms: 102 + 51 = 153 9x = 153 Divide each side by '9'. x = 17 Simplifying x = 17
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