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Simplifying 9(x + 1) = 1 + 2x Reorder the terms: 9(1 + x) = 1 + 2x (1 * 9 + x * 9) = 1 + 2x (9 + 9x) = 1 + 2x Solving 9 + 9x = 1 + 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. 9 + 9x + -2x = 1 + 2x + -2x Combine like terms: 9x + -2x = 7x 9 + 7x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 7x = 1 + 0 9 + 7x = 1 Add '-9' to each side of the equation. 9 + -9 + 7x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 1 + -9 7x = 1 + -9 Combine like terms: 1 + -9 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143
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