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Simplifying 2x + 9 = 101 + -9x Reorder the terms: 9 + 2x = 101 + -9x Solving 9 + 2x = 101 + -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. 9 + 2x + 9x = 101 + -9x + 9x Combine like terms: 2x + 9x = 11x 9 + 11x = 101 + -9x + 9x Combine like terms: -9x + 9x = 0 9 + 11x = 101 + 0 9 + 11x = 101 Add '-9' to each side of the equation. 9 + -9 + 11x = 101 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 101 + -9 11x = 101 + -9 Combine like terms: 101 + -9 = 92 11x = 92 Divide each side by '11'. x = 8.363636364 Simplifying x = 8.363636364
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