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Simplifying 2x + 8 = 102 + -9x Reorder the terms: 8 + 2x = 102 + -9x Solving 8 + 2x = 102 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 8 + 2x + 9x = 102 + -9x + 9x Combine like terms: 2x + 9x = 11x 8 + 11x = 102 + -9x + 9x Combine like terms: -9x + 9x = 0 8 + 11x = 102 + 0 8 + 11x = 102 Add '-8' to each side of the equation. 8 + -8 + 11x = 102 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 102 + -8 11x = 102 + -8 Combine like terms: 102 + -8 = 94 11x = 94 Divide each side by '11'. x = 8.545454545 Simplifying x = 8.545454545
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