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Simplifying -101 + 9x = 109 + 2x Solving -101 + 9x = 109 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -101 + 9x + -2x = 109 + 2x + -2x Combine like terms: 9x + -2x = 7x -101 + 7x = 109 + 2x + -2x Combine like terms: 2x + -2x = 0 -101 + 7x = 109 + 0 -101 + 7x = 109 Add '101' to each side of the equation. -101 + 101 + 7x = 109 + 101 Combine like terms: -101 + 101 = 0 0 + 7x = 109 + 101 7x = 109 + 101 Combine like terms: 109 + 101 = 210 7x = 210 Divide each side by '7'. x = 30 Simplifying x = 30
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